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Finding the Third Proportional to 493,606,703,407.50 and 1,001,092,503,293.20

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Solution

The third proportional to 493,606,703,407.50 and 1,001,092,503,293.20 is: 2,030,333,448,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,606,703,407.50 : 1,001,092,503,293.20 = 1,001,092,503,293.20 : x
  2. Step 2: Convert to fraction form
    493,606,703,407.50/1,001,092,503,293.20 = 1,001,092,503,293.20/x
  3. Step 3: Cross multiply
    493,606,703,407.50x = 1,001,092,503,293.20 × 1,001,092,503,293.20
  4. Step 4: Simplify right side
    493,606,703,407.50x = 1,002,186,200,149,845,503,639,552
  5. Step 5: Solve for x
    x = 1,002,186,200,149,845,503,639,552/493,606,703,407.50
  6. Step 6: Final answer
    x = 2,030,333,448,130.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.