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Finding the Third Proportional to 677,051,415 and 935,531,289

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Solution

The third proportional to 677,051,415 and 935,531,289 is: 1,292,691,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,051,415 : 935,531,289 = 935,531,289 : x
  2. Step 2: Convert to fraction form
    677,051,415/935,531,289 = 935,531,289/x
  3. Step 3: Cross multiply
    677,051,415x = 935,531,289 × 935,531,289
  4. Step 4: Simplify right side
    677,051,415x = 875,218,792,698,001,536
  5. Step 5: Solve for x
    x = 875,218,792,698,001,536/677,051,415
  6. Step 6: Final answer
    x = 1,292,691,770.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.