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Finding the Third Proportional to 12,761,080 and 19,614,664

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Solution

The third proportional to 12,761,080 and 19,614,664 is: 30,149,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761,080 : 19,614,664 = 19,614,664 : x
  2. Step 2: Convert to fraction form
    12,761,080/19,614,664 = 19,614,664/x
  3. Step 3: Cross multiply
    12,761,080x = 19,614,664 × 19,614,664
  4. Step 4: Simplify right side
    12,761,080x = 384,735,043,832,896
  5. Step 5: Solve for x
    x = 384,735,043,832,896/12,761,080
  6. Step 6: Final answer
    x = 30,149,097.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.