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Finding the Third Proportional to 10,385,732.25 and 24,041,085.75

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Solution

The third proportional to 10,385,732.25 and 24,041,085.75 is: 55,650,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,732.25 : 24,041,085.75 = 24,041,085.75 : x
  2. Step 2: Convert to fraction form
    10,385,732.25/24,041,085.75 = 24,041,085.75/x
  3. Step 3: Cross multiply
    10,385,732.25x = 24,041,085.75 × 24,041,085.75
  4. Step 4: Simplify right side
    10,385,732.25x = 577,973,804,038,853
  5. Step 5: Solve for x
    x = 577,973,804,038,853/10,385,732.25
  6. Step 6: Final answer
    x = 55,650,751.45

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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.