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Finding the Third Proportional to 10,462,608 and 22,576,320

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Solution

The third proportional to 10,462,608 and 22,576,320 is: 48,715,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462,608 : 22,576,320 = 22,576,320 : x
  2. Step 2: Convert to fraction form
    10,462,608/22,576,320 = 22,576,320/x
  3. Step 3: Cross multiply
    10,462,608x = 22,576,320 × 22,576,320
  4. Step 4: Simplify right side
    10,462,608x = 509,690,224,742,400
  5. Step 5: Solve for x
    x = 509,690,224,742,400/10,462,608
  6. Step 6: Final answer
    x = 48,715,408.70

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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.