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Finding the Third Proportional to 2,634,358,628 and 5,202,092,461

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Solution

The third proportional to 2,634,358,628 and 5,202,092,461 is: 10,272,620,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634,358,628 : 5,202,092,461 = 5,202,092,461 : x
  2. Step 2: Convert to fraction form
    2,634,358,628/5,202,092,461 = 5,202,092,461/x
  3. Step 3: Cross multiply
    2,634,358,628x = 5,202,092,461 × 5,202,092,461
  4. Step 4: Simplify right side
    2,634,358,628x = 27,061,765,972,793,036,800
  5. Step 5: Solve for x
    x = 27,061,765,972,793,036,800/2,634,358,628
  6. Step 6: Final answer
    x = 10,272,620,320.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.