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Finding the Third Proportional to 31,139,503,878 and 64,486,536,396

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Solution

The third proportional to 31,139,503,878 and 64,486,536,396 is: 133,544,625,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,139,503,878 : 64,486,536,396 = 64,486,536,396 : x
  2. Step 2: Convert to fraction form
    31,139,503,878/64,486,536,396 = 64,486,536,396/x
  3. Step 3: Cross multiply
    31,139,503,878x = 64,486,536,396 × 64,486,536,396
  4. Step 4: Simplify right side
    31,139,503,878x = 4,158,513,376,352,632,569,856
  5. Step 5: Solve for x
    x = 4,158,513,376,352,632,569,856/31,139,503,878
  6. Step 6: Final answer
    x = 133,544,625,265.87

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.