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Finding the Third Proportional to 2,766,506,103 and 5,974,728,858

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Solution

The third proportional to 2,766,506,103 and 5,974,728,858 is: 12,903,418,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766,506,103 : 5,974,728,858 = 5,974,728,858 : x
  2. Step 2: Convert to fraction form
    2,766,506,103/5,974,728,858 = 5,974,728,858/x
  3. Step 3: Cross multiply
    2,766,506,103x = 5,974,728,858 × 5,974,728,858
  4. Step 4: Simplify right side
    2,766,506,103x = 35,697,384,926,617,985,024
  5. Step 5: Solve for x
    x = 35,697,384,926,617,985,024/2,766,506,103
  6. Step 6: Final answer
    x = 12,903,418,101.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.