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Finding the Third Proportional to 65,663,048 and 98,127,040

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Solution

The third proportional to 65,663,048 and 98,127,040 is: 146,641,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,663,048 : 98,127,040 = 98,127,040 : x
  2. Step 2: Convert to fraction form
    65,663,048/98,127,040 = 98,127,040/x
  3. Step 3: Cross multiply
    65,663,048x = 98,127,040 × 98,127,040
  4. Step 4: Simplify right side
    65,663,048x = 9,628,915,979,161,600
  5. Step 5: Solve for x
    x = 9,628,915,979,161,600/65,663,048
  6. Step 6: Final answer
    x = 146,641,319.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.