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Finding the Third Proportional to 2,766,506,114 and 5,974,728,880

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Solution

The third proportional to 2,766,506,114 and 5,974,728,880 is: 12,903,418,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766,506,114 : 5,974,728,880 = 5,974,728,880 : x
  2. Step 2: Convert to fraction form
    2,766,506,114/5,974,728,880 = 5,974,728,880/x
  3. Step 3: Cross multiply
    2,766,506,114x = 5,974,728,880 × 5,974,728,880
  4. Step 4: Simplify right side
    2,766,506,114x = 35,697,385,189,506,056,192
  5. Step 5: Solve for x
    x = 35,697,385,189,506,056,192/2,766,506,114
  6. Step 6: Final answer
    x = 12,903,418,144.95

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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.