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Finding the Third Proportional to 39,884,292 and 86,756,723

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Solution

The third proportional to 39,884,292 and 86,756,723 is: 188,714,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884,292 : 86,756,723 = 86,756,723 : x
  2. Step 2: Convert to fraction form
    39,884,292/86,756,723 = 86,756,723/x
  3. Step 3: Cross multiply
    39,884,292x = 86,756,723 × 86,756,723
  4. Step 4: Simplify right side
    39,884,292x = 7,526,728,985,698,729
  5. Step 5: Solve for x
    x = 7,526,728,985,698,729/39,884,292
  6. Step 6: Final answer
    x = 188,714,117.97

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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.