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Finding the Third Proportional to 20,819,822 and 45,114,516

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Solution

The third proportional to 20,819,822 and 45,114,516 is: 97,758,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819,822 : 45,114,516 = 45,114,516 : x
  2. Step 2: Convert to fraction form
    20,819,822/45,114,516 = 45,114,516/x
  3. Step 3: Cross multiply
    20,819,822x = 45,114,516 × 45,114,516
  4. Step 4: Simplify right side
    20,819,822x = 2,035,319,553,914,256
  5. Step 5: Solve for x
    x = 2,035,319,553,914,256/20,819,822
  6. Step 6: Final answer
    x = 97,758,739.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.