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Finding the Third Proportional to 39,709,640 and 86,013,124

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Solution

The third proportional to 39,709,640 and 86,013,124 is: 186,308,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,709,640 : 86,013,124 = 86,013,124 : x
  2. Step 2: Convert to fraction form
    39,709,640/86,013,124 = 86,013,124/x
  3. Step 3: Cross multiply
    39,709,640x = 86,013,124 × 86,013,124
  4. Step 4: Simplify right side
    39,709,640x = 7,398,257,500,239,376
  5. Step 5: Solve for x
    x = 7,398,257,500,239,376/39,709,640
  6. Step 6: Final answer
    x = 186,308,853.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.