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Finding the Third Proportional to 8,656,598,574 and 18,906,988,464

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Solution

The third proportional to 8,656,598,574 and 18,906,988,464 is: 41,294,997,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656,598,574 : 18,906,988,464 = 18,906,988,464 : x
  2. Step 2: Convert to fraction form
    8,656,598,574/18,906,988,464 = 18,906,988,464/x
  3. Step 3: Cross multiply
    8,656,598,574x = 18,906,988,464 × 18,906,988,464
  4. Step 4: Simplify right side
    8,656,598,574x = 357,474,212,777,829,072,896
  5. Step 5: Solve for x
    x = 357,474,212,777,829,072,896/8,656,598,574
  6. Step 6: Final answer
    x = 41,294,997,073.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.