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Finding the Third Proportional to 711,895,890 and 1,101,715,515

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Solution

The third proportional to 711,895,890 and 1,101,715,515 is: 1,704,992,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,895,890 : 1,101,715,515 = 1,101,715,515 : x
  2. Step 2: Convert to fraction form
    711,895,890/1,101,715,515 = 1,101,715,515/x
  3. Step 3: Cross multiply
    711,895,890x = 1,101,715,515 × 1,101,715,515
  4. Step 4: Simplify right side
    711,895,890x = 1,213,777,075,991,715,328
  5. Step 5: Solve for x
    x = 1,213,777,075,991,715,328/711,895,890
  6. Step 6: Final answer
    x = 1,704,992,391.50

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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.