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Finding the Third Proportional to 970,729,562 and 1,373,552,583

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Solution

The third proportional to 970,729,562 and 1,373,552,583 is: 1,943,534,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,729,562 : 1,373,552,583 = 1,373,552,583 : x
  2. Step 2: Convert to fraction form
    970,729,562/1,373,552,583 = 1,373,552,583/x
  3. Step 3: Cross multiply
    970,729,562x = 1,373,552,583 × 1,373,552,583
  4. Step 4: Simplify right side
    970,729,562x = 1,886,646,698,265,971,968
  5. Step 5: Solve for x
    x = 1,886,646,698,265,971,968/970,729,562
  6. Step 6: Final answer
    x = 1,943,534,813.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.