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Finding the Third Proportional to 9,275,363.16 and 12,197,058.47

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Solution

The third proportional to 9,275,363.16 and 12,197,058.47 is: 16,039,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275,363.16 : 12,197,058.47 = 12,197,058.47 : x
  2. Step 2: Convert to fraction form
    9,275,363.16/12,197,058.47 = 12,197,058.47/x
  3. Step 3: Cross multiply
    9,275,363.16x = 12,197,058.47 × 12,197,058.47
  4. Step 4: Simplify right side
    9,275,363.16x = 148,768,235,290,106.09
  5. Step 5: Solve for x
    x = 148,768,235,290,106.09/9,275,363.16
  6. Step 6: Final answer
    x = 16,039,073.92

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.