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Finding the Third Proportional to 39,549,872 and 86,640,277

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Solution

The third proportional to 39,549,872 and 86,640,277 is: 189,799,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,549,872 : 86,640,277 = 86,640,277 : x
  2. Step 2: Convert to fraction form
    39,549,872/86,640,277 = 86,640,277/x
  3. Step 3: Cross multiply
    39,549,872x = 86,640,277 × 86,640,277
  4. Step 4: Simplify right side
    39,549,872x = 7,506,537,598,636,729
  5. Step 5: Solve for x
    x = 7,506,537,598,636,729/39,549,872
  6. Step 6: Final answer
    x = 189,799,289.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.