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Finding the Third Proportional to 13,024,514 and 19,146,527

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Solution

The third proportional to 13,024,514 and 19,146,527 is: 28,146,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024,514 : 19,146,527 = 19,146,527 : x
  2. Step 2: Convert to fraction form
    13,024,514/19,146,527 = 19,146,527/x
  3. Step 3: Cross multiply
    13,024,514x = 19,146,527 × 19,146,527
  4. Step 4: Simplify right side
    13,024,514x = 366,589,496,161,729
  5. Step 5: Solve for x
    x = 366,589,496,161,729/13,024,514
  6. Step 6: Final answer
    x = 28,146,117.10

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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.