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Finding the Third Proportional to 29,414,368,116 and 62,918,174,448

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Solution

The third proportional to 29,414,368,116 and 62,918,174,448 is: 134,583,774,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,414,368,116 : 62,918,174,448 = 62,918,174,448 : x
  2. Step 2: Convert to fraction form
    29,414,368,116/62,918,174,448 = 62,918,174,448/x
  3. Step 3: Cross multiply
    29,414,368,116x = 62,918,174,448 × 62,918,174,448
  4. Step 4: Simplify right side
    29,414,368,116x = 3,958,696,675,868,960,358,400
  5. Step 5: Solve for x
    x = 3,958,696,675,868,960,358,400/29,414,368,116
  6. Step 6: Final answer
    x = 134,583,774,169.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.