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Finding the Third Proportional to 6,123,060 and 13,406,202

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Solution

The third proportional to 6,123,060 and 13,406,202 is: 29,352,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123,060 : 13,406,202 = 13,406,202 : x
  2. Step 2: Convert to fraction form
    6,123,060/13,406,202 = 13,406,202/x
  3. Step 3: Cross multiply
    6,123,060x = 13,406,202 × 13,406,202
  4. Step 4: Simplify right side
    6,123,060x = 179,726,252,064,804
  5. Step 5: Solve for x
    x = 179,726,252,064,804/6,123,060
  6. Step 6: Final answer
    x = 29,352,358.47

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