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Finding the Third Proportional to 60,005,670 and 130,914,129

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Solution

The third proportional to 60,005,670 and 130,914,129 is: 285,614,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,005,670 : 130,914,129 = 130,914,129 : x
  2. Step 2: Convert to fraction form
    60,005,670/130,914,129 = 130,914,129/x
  3. Step 3: Cross multiply
    60,005,670x = 130,914,129 × 130,914,129
  4. Step 4: Simplify right side
    60,005,670x = 17,138,509,171,828,640
  5. Step 5: Solve for x
    x = 17,138,509,171,828,640/60,005,670
  6. Step 6: Final answer
    x = 285,614,828.93

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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.