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Finding the Third Proportional to 1,154,489,949 and 2,520,598,271

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Solution

The third proportional to 1,154,489,949 and 2,520,598,271 is: 5,503,223,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,489,949 : 2,520,598,271 = 2,520,598,271 : x
  2. Step 2: Convert to fraction form
    1,154,489,949/2,520,598,271 = 2,520,598,271/x
  3. Step 3: Cross multiply
    1,154,489,949x = 2,520,598,271 × 2,520,598,271
  4. Step 4: Simplify right side
    1,154,489,949x = 6,353,415,643,768,189,952
  5. Step 5: Solve for x
    x = 6,353,415,643,768,189,952/1,154,489,949
  6. Step 6: Final answer
    x = 5,503,223,002.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.