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Finding the Third Proportional to 10,577,263 and 23,743,070

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Solution

The third proportional to 10,577,263 and 23,743,070 is: 53,296,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577,263 : 23,743,070 = 23,743,070 : x
  2. Step 2: Convert to fraction form
    10,577,263/23,743,070 = 23,743,070/x
  3. Step 3: Cross multiply
    10,577,263x = 23,743,070 × 23,743,070
  4. Step 4: Simplify right side
    10,577,263x = 563,733,373,024,900
  5. Step 5: Solve for x
    x = 563,733,373,024,900/10,577,263
  6. Step 6: Final answer
    x = 53,296,715.14

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.