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Finding the Third Proportional to 780,935,143.50 and 1,036,416,658.50

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Solution

The third proportional to 780,935,143.50 and 1,036,416,658.50 is: 1,375,478,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,935,143.50 : 1,036,416,658.50 = 1,036,416,658.50 : x
  2. Step 2: Convert to fraction form
    780,935,143.50/1,036,416,658.50 = 1,036,416,658.50/x
  3. Step 3: Cross multiply
    780,935,143.50x = 1,036,416,658.50 × 1,036,416,658.50
  4. Step 4: Simplify right side
    780,935,143.50x = 1,074,159,490,016,305,664
  5. Step 5: Solve for x
    x = 1,074,159,490,016,305,664/780,935,143.50
  6. Step 6: Final answer
    x = 1,375,478,487.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.