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Finding the Third Proportional to 10,068,981,972 and 15,795,261,336

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Solution

The third proportional to 10,068,981,972 and 15,795,261,336 is: 24,778,103,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068,981,972 : 15,795,261,336 = 15,795,261,336 : x
  2. Step 2: Convert to fraction form
    10,068,981,972/15,795,261,336 = 15,795,261,336/x
  3. Step 3: Cross multiply
    10,068,981,972x = 15,795,261,336 × 15,795,261,336
  4. Step 4: Simplify right side
    10,068,981,972x = 249,490,280,672,536,494,080
  5. Step 5: Solve for x
    x = 249,490,280,672,536,494,080/10,068,981,972
  6. Step 6: Final answer
    x = 24,778,103,820.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.