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Finding the Third Proportional to 2,425,969,683 and 3,466,766,817

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Solution

The third proportional to 2,425,969,683 and 3,466,766,817 is: 4,954,090,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,969,683 : 3,466,766,817 = 3,466,766,817 : x
  2. Step 2: Convert to fraction form
    2,425,969,683/3,466,766,817 = 3,466,766,817/x
  3. Step 3: Cross multiply
    2,425,969,683x = 3,466,766,817 × 3,466,766,817
  4. Step 4: Simplify right side
    2,425,969,683x = 12,018,472,163,452,311,552
  5. Step 5: Solve for x
    x = 12,018,472,163,452,311,552/2,425,969,683
  6. Step 6: Final answer
    x = 4,954,090,006.84

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