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Finding the Third Proportional to 27,909,778 and 37,696,731

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Solution

The third proportional to 27,909,778 and 37,696,731 is: 50,915,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909,778 : 37,696,731 = 37,696,731 : x
  2. Step 2: Convert to fraction form
    27,909,778/37,696,731 = 37,696,731/x
  3. Step 3: Cross multiply
    27,909,778x = 37,696,731 × 37,696,731
  4. Step 4: Simplify right side
    27,909,778x = 1,421,043,528,086,361
  5. Step 5: Solve for x
    x = 1,421,043,528,086,361/27,909,778
  6. Step 6: Final answer
    x = 50,915,615.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.