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Finding the Third Proportional to 729,686,502 and 1,130,813,176.50

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Solution

The third proportional to 729,686,502 and 1,130,813,176.50 is: 1,752,449,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,686,502 : 1,130,813,176.50 = 1,130,813,176.50 : x
  2. Step 2: Convert to fraction form
    729,686,502/1,130,813,176.50 = 1,130,813,176.50/x
  3. Step 3: Cross multiply
    729,686,502x = 1,130,813,176.50 × 1,130,813,176.50
  4. Step 4: Simplify right side
    729,686,502x = 1,278,738,440,146,020,096
  5. Step 5: Solve for x
    x = 1,278,738,440,146,020,096/729,686,502
  6. Step 6: Final answer
    x = 1,752,449,081.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.