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Finding the Third Proportional to 60,882,358,464 and 93,143,191,464

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Solution

The third proportional to 60,882,358,464 and 93,143,191,464 is: 142,498,653,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,882,358,464 : 93,143,191,464 = 93,143,191,464 : x
  2. Step 2: Convert to fraction form
    60,882,358,464/93,143,191,464 = 93,143,191,464/x
  3. Step 3: Cross multiply
    60,882,358,464x = 93,143,191,464 × 93,143,191,464
  4. Step 4: Simplify right side
    60,882,358,464x = 8,675,654,116,099,362,914,304
  5. Step 5: Solve for x
    x = 8,675,654,116,099,362,914,304/60,882,358,464
  6. Step 6: Final answer
    x = 142,498,653,714.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.