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Finding the Third Proportional to 797,731,865 and 1,225,413,817.50

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Solution

The third proportional to 797,731,865 and 1,225,413,817.50 is: 1,882,385,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,731,865 : 1,225,413,817.50 = 1,225,413,817.50 : x
  2. Step 2: Convert to fraction form
    797,731,865/1,225,413,817.50 = 1,225,413,817.50/x
  3. Step 3: Cross multiply
    797,731,865x = 1,225,413,817.50 × 1,225,413,817.50
  4. Step 4: Simplify right side
    797,731,865x = 1,501,639,024,119,923,200
  5. Step 5: Solve for x
    x = 1,501,639,024,119,923,200/797,731,865
  6. Step 6: Final answer
    x = 1,882,385,661.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.