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Finding the Third Proportional to 12,278,142 and 20,462,323.50

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Solution

The third proportional to 12,278,142 and 20,462,323.50 is: 34,101,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278,142 : 20,462,323.50 = 20,462,323.50 : x
  2. Step 2: Convert to fraction form
    12,278,142/20,462,323.50 = 20,462,323.50/x
  3. Step 3: Cross multiply
    12,278,142x = 20,462,323.50 × 20,462,323.50
  4. Step 4: Simplify right side
    12,278,142x = 418,706,683,018,652.25
  5. Step 5: Solve for x
    x = 418,706,683,018,652.25/12,278,142
  6. Step 6: Final answer
    x = 34,101,795.13

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.