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Finding the Third Proportional to 39,911,724 and 86,210,136

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Solution

The third proportional to 39,911,724 and 86,210,136 is: 186,215,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,911,724 : 86,210,136 = 86,210,136 : x
  2. Step 2: Convert to fraction form
    39,911,724/86,210,136 = 86,210,136/x
  3. Step 3: Cross multiply
    39,911,724x = 86,210,136 × 86,210,136
  4. Step 4: Simplify right side
    39,911,724x = 7,432,187,549,138,496
  5. Step 5: Solve for x
    x = 7,432,187,549,138,496/39,911,724
  6. Step 6: Final answer
    x = 186,215,648.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.