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Finding the Third Proportional to 691,148,412 and 1,523,174,880

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Solution

The third proportional to 691,148,412 and 1,523,174,880 is: 3,356,821,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,148,412 : 1,523,174,880 = 1,523,174,880 : x
  2. Step 2: Convert to fraction form
    691,148,412/1,523,174,880 = 1,523,174,880/x
  3. Step 3: Cross multiply
    691,148,412x = 1,523,174,880 × 1,523,174,880
  4. Step 4: Simplify right side
    691,148,412x = 2,320,061,715,063,014,400
  5. Step 5: Solve for x
    x = 2,320,061,715,063,014,400/691,148,412
  6. Step 6: Final answer
    x = 3,356,821,306.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.