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Finding the Third Proportional to 2,466,375,301 and 5,755,074,464.50

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Solution

The third proportional to 2,466,375,301 and 5,755,074,464.50 is: 13,428,970,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,375,301 : 5,755,074,464.50 = 5,755,074,464.50 : x
  2. Step 2: Convert to fraction form
    2,466,375,301/5,755,074,464.50 = 5,755,074,464.50/x
  3. Step 3: Cross multiply
    2,466,375,301x = 5,755,074,464.50 × 5,755,074,464.50
  4. Step 4: Simplify right side
    2,466,375,301x = 33,120,882,091,939,962,880
  5. Step 5: Solve for x
    x = 33,120,882,091,939,962,880/2,466,375,301
  6. Step 6: Final answer
    x = 13,428,970,878.24

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.