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Finding the Third Proportional to 10,385,730.75 and 24,041,085

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Solution

The third proportional to 10,385,730.75 and 24,041,085 is: 55,650,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,730.75 : 24,041,085 = 24,041,085 : x
  2. Step 2: Convert to fraction form
    10,385,730.75/24,041,085 = 24,041,085/x
  3. Step 3: Cross multiply
    10,385,730.75x = 24,041,085 × 24,041,085
  4. Step 4: Simplify right side
    10,385,730.75x = 577,973,767,977,225
  5. Step 5: Solve for x
    x = 577,973,767,977,225/10,385,730.75
  6. Step 6: Final answer
    x = 55,650,756.01

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Why These Related Problems?

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