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Finding the Third Proportional to 10,542,434 and 16,291,462

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Solution

The third proportional to 10,542,434 and 16,291,462 is: 25,175,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542,434 : 16,291,462 = 16,291,462 : x
  2. Step 2: Convert to fraction form
    10,542,434/16,291,462 = 16,291,462/x
  3. Step 3: Cross multiply
    10,542,434x = 16,291,462 × 16,291,462
  4. Step 4: Simplify right side
    10,542,434x = 265,411,734,097,444
  5. Step 5: Solve for x
    x = 265,411,734,097,444/10,542,434
  6. Step 6: Final answer
    x = 25,175,565.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.