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Finding the Third Proportional to 29,386,768 and 68,623,048

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Solution

The third proportional to 29,386,768 and 68,623,048 is: 160,246,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,386,768 : 68,623,048 = 68,623,048 : x
  2. Step 2: Convert to fraction form
    29,386,768/68,623,048 = 68,623,048/x
  3. Step 3: Cross multiply
    29,386,768x = 68,623,048 × 68,623,048
  4. Step 4: Simplify right side
    29,386,768x = 4,709,122,716,810,304
  5. Step 5: Solve for x
    x = 4,709,122,716,810,304/29,386,768
  6. Step 6: Final answer
    x = 160,246,363.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.