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Finding the Third Proportional to 10,385,730 and 24,041,084.63

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Solution

The third proportional to 10,385,730 and 24,041,084.63 is: 55,650,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,730 : 24,041,084.63 = 24,041,084.63 : x
  2. Step 2: Convert to fraction form
    10,385,730/24,041,084.63 = 24,041,084.63/x
  3. Step 3: Cross multiply
    10,385,730x = 24,041,084.63 × 24,041,084.63
  4. Step 4: Simplify right side
    10,385,730x = 577,973,749,946,411.38
  5. Step 5: Solve for x
    x = 577,973,749,946,411.38/10,385,730
  6. Step 6: Final answer
    x = 55,650,758.29

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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.