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Finding the Third Proportional to 10,655,210 and 23,015,452

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Solution

The third proportional to 10,655,210 and 23,015,452 is: 49,713,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655,210 : 23,015,452 = 23,015,452 : x
  2. Step 2: Convert to fraction form
    10,655,210/23,015,452 = 23,015,452/x
  3. Step 3: Cross multiply
    10,655,210x = 23,015,452 × 23,015,452
  4. Step 4: Simplify right side
    10,655,210x = 529,711,030,764,304
  5. Step 5: Solve for x
    x = 529,711,030,764,304/10,655,210
  6. Step 6: Final answer
    x = 49,713,804.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.