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Finding the Third Proportional to 12,439,719 and 19,471,726.50

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Solution

The third proportional to 12,439,719 and 19,471,726.50 is: 30,478,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,439,719 : 19,471,726.50 = 19,471,726.50 : x
  2. Step 2: Convert to fraction form
    12,439,719/19,471,726.50 = 19,471,726.50/x
  3. Step 3: Cross multiply
    12,439,719x = 19,471,726.50 × 19,471,726.50
  4. Step 4: Simplify right side
    12,439,719x = 379,148,132,890,802.25
  5. Step 5: Solve for x
    x = 379,148,132,890,802.25/12,439,719
  6. Step 6: Final answer
    x = 30,478,834.20

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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.