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Finding the Third Proportional to 680,393,182.50 and 1,484,461,609.50

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Solution

The third proportional to 680,393,182.50 and 1,484,461,609.50 is: 3,238,754,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,393,182.50 : 1,484,461,609.50 = 1,484,461,609.50 : x
  2. Step 2: Convert to fraction form
    680,393,182.50/1,484,461,609.50 = 1,484,461,609.50/x
  3. Step 3: Cross multiply
    680,393,182.50x = 1,484,461,609.50 × 1,484,461,609.50
  4. Step 4: Simplify right side
    680,393,182.50x = 2,203,626,270,079,330,560
  5. Step 5: Solve for x
    x = 2,203,626,270,079,330,560/680,393,182.50
  6. Step 6: Final answer
    x = 3,238,754,189.13

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