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Finding the Third Proportional to 10,292,566 and 15,139,473

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Solution

The third proportional to 10,292,566 and 15,139,473 is: 22,268,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292,566 : 15,139,473 = 15,139,473 : x
  2. Step 2: Convert to fraction form
    10,292,566/15,139,473 = 15,139,473/x
  3. Step 3: Cross multiply
    10,292,566x = 15,139,473 × 15,139,473
  4. Step 4: Simplify right side
    10,292,566x = 229,203,642,717,729
  5. Step 5: Solve for x
    x = 229,203,642,717,729/10,292,566
  6. Step 6: Final answer
    x = 22,268,853.34

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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.