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Finding the Third Proportional to 10,385,729.63 and 24,041,083.50

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Solution

The third proportional to 10,385,729.63 and 24,041,083.50 is: 55,650,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,729.63 : 24,041,083.50 = 24,041,083.50 : x
  2. Step 2: Convert to fraction form
    10,385,729.63/24,041,083.50 = 24,041,083.50/x
  3. Step 3: Cross multiply
    10,385,729.63x = 24,041,083.50 × 24,041,083.50
  4. Step 4: Simplify right side
    10,385,729.63x = 577,973,695,853,972.25
  5. Step 5: Solve for x
    x = 577,973,695,853,972.25/10,385,729.63
  6. Step 6: Final answer
    x = 55,650,755.10

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.