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Finding the Third Proportional to 599,310,854,464 and 865,900,690,960

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Solution

The third proportional to 599,310,854,464 and 865,900,690,960 is: 1,251,076,967,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,310,854,464 : 865,900,690,960 = 865,900,690,960 : x
  2. Step 2: Convert to fraction form
    599,310,854,464/865,900,690,960 = 865,900,690,960/x
  3. Step 3: Cross multiply
    599,310,854,464x = 865,900,690,960 × 865,900,690,960
  4. Step 4: Simplify right side
    599,310,854,464x = 749,784,006,605,005,450,641,408
  5. Step 5: Solve for x
    x = 749,784,006,605,005,450,641,408/599,310,854,464
  6. Step 6: Final answer
    x = 1,251,076,967,854.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.