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Finding the Third Proportional to 37,884,266 and 81,681,868

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Solution

The third proportional to 37,884,266 and 81,681,868 is: 176,113,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884,266 : 81,681,868 = 81,681,868 : x
  2. Step 2: Convert to fraction form
    37,884,266/81,681,868 = 81,681,868/x
  3. Step 3: Cross multiply
    37,884,266x = 81,681,868 × 81,681,868
  4. Step 4: Simplify right side
    37,884,266x = 6,671,927,559,969,424
  5. Step 5: Solve for x
    x = 6,671,927,559,969,424/37,884,266
  6. Step 6: Final answer
    x = 176,113,417.64

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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.