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Finding the Third Proportional to 9,893,840,460 and 21,565,449,432

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Solution

The third proportional to 9,893,840,460 and 21,565,449,432 is: 47,005,873,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893,840,460 : 21,565,449,432 = 21,565,449,432 : x
  2. Step 2: Convert to fraction form
    9,893,840,460/21,565,449,432 = 21,565,449,432/x
  3. Step 3: Cross multiply
    9,893,840,460x = 21,565,449,432 × 21,565,449,432
  4. Step 4: Simplify right side
    9,893,840,460x = 465,068,609,204,149,092,352
  5. Step 5: Solve for x
    x = 465,068,609,204,149,092,352/9,893,840,460
  6. Step 6: Final answer
    x = 47,005,873,107.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.