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Finding the Third Proportional to 418,896,996,885 and 599,023,418,908

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Solution

The third proportional to 418,896,996,885 and 599,023,418,908 is: 856,604,509,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,896,996,885 : 599,023,418,908 = 599,023,418,908 : x
  2. Step 2: Convert to fraction form
    418,896,996,885/599,023,418,908 = 599,023,418,908/x
  3. Step 3: Cross multiply
    418,896,996,885x = 599,023,418,908 × 599,023,418,908
  4. Step 4: Simplify right side
    418,896,996,885x = 358,829,056,400,229,245,386,752
  5. Step 5: Solve for x
    x = 358,829,056,400,229,245,386,752/418,896,996,885
  6. Step 6: Final answer
    x = 856,604,509,147.96

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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.