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Finding the Third Proportional to 13,818,966.19 and 21,676,013.44

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Solution

The third proportional to 13,818,966.19 and 21,676,013.44 is: 34,000,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818,966.19 : 21,676,013.44 = 21,676,013.44 : x
  2. Step 2: Convert to fraction form
    13,818,966.19/21,676,013.44 = 21,676,013.44/x
  3. Step 3: Cross multiply
    13,818,966.19x = 21,676,013.44 × 21,676,013.44
  4. Step 4: Simplify right side
    13,818,966.19x = 469,849,558,542,680.56
  5. Step 5: Solve for x
    x = 469,849,558,542,680.56/13,818,966.19
  6. Step 6: Final answer
    x = 34,000,340.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.