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Finding the Third Proportional to 493,606,703,410 and 1,001,092,503,300

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Solution

The third proportional to 493,606,703,410 and 1,001,092,503,300 is: 2,030,333,448,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,606,703,410 : 1,001,092,503,300 = 1,001,092,503,300 : x
  2. Step 2: Convert to fraction form
    493,606,703,410/1,001,092,503,300 = 1,001,092,503,300/x
  3. Step 3: Cross multiply
    493,606,703,410x = 1,001,092,503,300 × 1,001,092,503,300
  4. Step 4: Simplify right side
    493,606,703,410x = 1,002,186,200,163,460,549,967,872
  5. Step 5: Solve for x
    x = 1,002,186,200,163,460,549,967,872/493,606,703,410
  6. Step 6: Final answer
    x = 2,030,333,448,148.14

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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.