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Finding the Third Proportional to 13,024,506 and 19,146,534

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Solution

The third proportional to 13,024,506 and 19,146,534 is: 28,146,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024,506 : 19,146,534 = 19,146,534 : x
  2. Step 2: Convert to fraction form
    13,024,506/19,146,534 = 19,146,534/x
  3. Step 3: Cross multiply
    13,024,506x = 19,146,534 × 19,146,534
  4. Step 4: Simplify right side
    13,024,506x = 366,589,764,213,156
  5. Step 5: Solve for x
    x = 366,589,764,213,156/13,024,506
  6. Step 6: Final answer
    x = 28,146,154.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.