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Finding the Third Proportional to 732,585,985 and 1,571,518,782

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Solution

The third proportional to 732,585,985 and 1,571,518,782 is: 3,371,169,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,585,985 : 1,571,518,782 = 1,571,518,782 : x
  2. Step 2: Convert to fraction form
    732,585,985/1,571,518,782 = 1,571,518,782/x
  3. Step 3: Cross multiply
    732,585,985x = 1,571,518,782 × 1,571,518,782
  4. Step 4: Simplify right side
    732,585,985x = 2,469,671,282,178,763,776
  5. Step 5: Solve for x
    x = 2,469,671,282,178,763,776/732,585,985
  6. Step 6: Final answer
    x = 3,371,169,163.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.