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Finding the Third Proportional to 27,680,657 and 64,674,507

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Solution

The third proportional to 27,680,657 and 64,674,507 is: 151,108,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680,657 : 64,674,507 = 64,674,507 : x
  2. Step 2: Convert to fraction form
    27,680,657/64,674,507 = 64,674,507/x
  3. Step 3: Cross multiply
    27,680,657x = 64,674,507 × 64,674,507
  4. Step 4: Simplify right side
    27,680,657x = 4,182,791,855,693,049
  5. Step 5: Solve for x
    x = 4,182,791,855,693,049/27,680,657
  6. Step 6: Final answer
    x = 151,108,835.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.