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Finding the Third Proportional to 39,884,217 and 86,756,513

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Solution

The third proportional to 39,884,217 and 86,756,513 is: 188,713,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884,217 : 86,756,513 = 86,756,513 : x
  2. Step 2: Convert to fraction form
    39,884,217/86,756,513 = 86,756,513/x
  3. Step 3: Cross multiply
    39,884,217x = 86,756,513 × 86,756,513
  4. Step 4: Simplify right side
    39,884,217x = 7,526,692,547,919,169
  5. Step 5: Solve for x
    x = 7,526,692,547,919,169/39,884,217
  6. Step 6: Final answer
    x = 188,713,559.25

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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.