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Finding the Third Proportional to 3,656,032,584 and 5,569,712,748

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Solution

The third proportional to 3,656,032,584 and 5,569,712,748 is: 8,485,072,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656,032,584 : 5,569,712,748 = 5,569,712,748 : x
  2. Step 2: Convert to fraction form
    3,656,032,584/5,569,712,748 = 5,569,712,748/x
  3. Step 3: Cross multiply
    3,656,032,584x = 5,569,712,748 × 5,569,712,748
  4. Step 4: Simplify right side
    3,656,032,584x = 31,021,700,095,233,712,128
  5. Step 5: Solve for x
    x = 31,021,700,095,233,712,128/3,656,032,584
  6. Step 6: Final answer
    x = 8,485,072,105.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.