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Finding the Third Proportional to 10,232,002 and 22,103,428

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Solution

The third proportional to 10,232,002 and 22,103,428 is: 47,748,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,002 : 22,103,428 = 22,103,428 : x
  2. Step 2: Convert to fraction form
    10,232,002/22,103,428 = 22,103,428/x
  3. Step 3: Cross multiply
    10,232,002x = 22,103,428 × 22,103,428
  4. Step 4: Simplify right side
    10,232,002x = 488,561,529,351,184
  5. Step 5: Solve for x
    x = 488,561,529,351,184/10,232,002
  6. Step 6: Final answer
    x = 47,748,380.95

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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.