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Finding the Third Proportional to 548,456,437.13 and 1,186,369,648.88

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Solution

The third proportional to 548,456,437.13 and 1,186,369,648.88 is: 2,566,243,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,456,437.13 : 1,186,369,648.88 = 1,186,369,648.88 : x
  2. Step 2: Convert to fraction form
    548,456,437.13/1,186,369,648.88 = 1,186,369,648.88/x
  3. Step 3: Cross multiply
    548,456,437.13x = 1,186,369,648.88 × 1,186,369,648.88
  4. Step 4: Simplify right side
    548,456,437.13x = 1,407,472,943,771,790,848
  5. Step 5: Solve for x
    x = 1,407,472,943,771,790,848/548,456,437.13
  6. Step 6: Final answer
    x = 2,566,243,822.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.