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Finding the Third Proportional to 2,566,452,654 and 5,501,243,088

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Solution

The third proportional to 2,566,452,654 and 5,501,243,088 is: 11,792,025,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,452,654 : 5,501,243,088 = 5,501,243,088 : x
  2. Step 2: Convert to fraction form
    2,566,452,654/5,501,243,088 = 5,501,243,088/x
  3. Step 3: Cross multiply
    2,566,452,654x = 5,501,243,088 × 5,501,243,088
  4. Step 4: Simplify right side
    2,566,452,654x = 30,263,675,513,267,777,536
  5. Step 5: Solve for x
    x = 30,263,675,513,267,777,536/2,566,452,654
  6. Step 6: Final answer
    x = 11,792,025,645.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.