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Finding the Third Proportional to 971,854,755 and 1,565,006,368.50

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Solution

The third proportional to 971,854,755 and 1,565,006,368.50 is: 2,520,175,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,854,755 : 1,565,006,368.50 = 1,565,006,368.50 : x
  2. Step 2: Convert to fraction form
    971,854,755/1,565,006,368.50 = 1,565,006,368.50/x
  3. Step 3: Cross multiply
    971,854,755x = 1,565,006,368.50 × 1,565,006,368.50
  4. Step 4: Simplify right side
    971,854,755x = 2,449,244,933,445,557,760
  5. Step 5: Solve for x
    x = 2,449,244,933,445,557,760/971,854,755
  6. Step 6: Final answer
    x = 2,520,175,901.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.