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Finding the Third Proportional to 10,727,572 and 23,495,782

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Solution

The third proportional to 10,727,572 and 23,495,782 is: 51,461,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727,572 : 23,495,782 = 23,495,782 : x
  2. Step 2: Convert to fraction form
    10,727,572/23,495,782 = 23,495,782/x
  3. Step 3: Cross multiply
    10,727,572x = 23,495,782 × 23,495,782
  4. Step 4: Simplify right side
    10,727,572x = 552,051,771,791,524
  5. Step 5: Solve for x
    x = 552,051,771,791,524/10,727,572
  6. Step 6: Final answer
    x = 51,461,017.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.