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Finding the Third Proportional to 6,648,320.53 and 14,557,816.76

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Solution

The third proportional to 6,648,320.53 and 14,557,816.76 is: 31,877,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648,320.53 : 14,557,816.76 = 14,557,816.76 : x
  2. Step 2: Convert to fraction form
    6,648,320.53/14,557,816.76 = 14,557,816.76/x
  3. Step 3: Cross multiply
    6,648,320.53x = 14,557,816.76 × 14,557,816.76
  4. Step 4: Simplify right side
    6,648,320.53x = 211,930,028,754,031.91
  5. Step 5: Solve for x
    x = 211,930,028,754,031.91/6,648,320.53
  6. Step 6: Final answer
    x = 31,877,227.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.