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Finding the Third Proportional to 545,785,011.56 and 1,187,197,327.13

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Solution

The third proportional to 545,785,011.56 and 1,187,197,327.13 is: 2,582,404,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,785,011.56 : 1,187,197,327.13 = 1,187,197,327.13 : x
  2. Step 2: Convert to fraction form
    545,785,011.56/1,187,197,327.13 = 1,187,197,327.13/x
  3. Step 3: Cross multiply
    545,785,011.56x = 1,187,197,327.13 × 1,187,197,327.13
  4. Step 4: Simplify right side
    545,785,011.56x = 1,409,437,493,532,744,192
  5. Step 5: Solve for x
    x = 1,409,437,493,532,744,192/545,785,011.56
  6. Step 6: Final answer
    x = 2,582,404,176.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.