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Finding the Third Proportional to 418,896,996,882.75 and 599,023,418,905.12

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Solution

The third proportional to 418,896,996,882.75 and 599,023,418,905.12 is: 856,604,509,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,896,996,882.75 : 599,023,418,905.12 = 599,023,418,905.12 : x
  2. Step 2: Convert to fraction form
    418,896,996,882.75/599,023,418,905.12 = 599,023,418,905.12/x
  3. Step 3: Cross multiply
    418,896,996,882.75x = 599,023,418,905.12 × 599,023,418,905.12
  4. Step 4: Simplify right side
    418,896,996,882.75x = 358,829,056,396,778,843,144,192
  5. Step 5: Solve for x
    x = 358,829,056,396,778,843,144,192/418,896,996,882.75
  6. Step 6: Final answer
    x = 856,604,509,144.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.