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Finding the Third Proportional to 2,974,401,473.34 and 4,499,857,084.92

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Solution

The third proportional to 2,974,401,473.34 and 4,499,857,084.92 is: 6,807,659,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974,401,473.34 : 4,499,857,084.92 = 4,499,857,084.92 : x
  2. Step 2: Convert to fraction form
    2,974,401,473.34/4,499,857,084.92 = 4,499,857,084.92/x
  3. Step 3: Cross multiply
    2,974,401,473.34x = 4,499,857,084.92 × 4,499,857,084.92
  4. Step 4: Simplify right side
    2,974,401,473.34x = 20,248,713,784,720,916,480
  5. Step 5: Solve for x
    x = 20,248,713,784,720,916,480/2,974,401,473.34
  6. Step 6: Final answer
    x = 6,807,659,949.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.