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Finding the Third Proportional to 2,425,970,508 and 3,466,768,046

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Solution

The third proportional to 2,425,970,508 and 3,466,768,046 is: 4,954,091,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,970,508 : 3,466,768,046 = 3,466,768,046 : x
  2. Step 2: Convert to fraction form
    2,425,970,508/3,466,768,046 = 3,466,768,046/x
  3. Step 3: Cross multiply
    2,425,970,508x = 3,466,768,046 × 3,466,768,046
  4. Step 4: Simplify right side
    2,425,970,508x = 12,018,480,684,766,658,560
  5. Step 5: Solve for x
    x = 12,018,480,684,766,658,560/2,425,970,508
  6. Step 6: Final answer
    x = 4,954,091,834.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.