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Finding the Third Proportional to 1,977,479,428 and 2,692,989,448

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Solution

The third proportional to 1,977,479,428 and 2,692,989,448 is: 3,667,391,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,479,428 : 2,692,989,448 = 2,692,989,448 : x
  2. Step 2: Convert to fraction form
    1,977,479,428/2,692,989,448 = 2,692,989,448/x
  3. Step 3: Cross multiply
    1,977,479,428x = 2,692,989,448 × 2,692,989,448
  4. Step 4: Simplify right side
    1,977,479,428x = 7,252,192,167,039,344,640
  5. Step 5: Solve for x
    x = 7,252,192,167,039,344,640/1,977,479,428
  6. Step 6: Final answer
    x = 3,667,391,965.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.