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Finding the Third Proportional to 947,087,857,264 and 2,209,948,037,236

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Solution

The third proportional to 947,087,857,264 and 2,209,948,037,236 is: 5,156,723,623,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,087,857,264 : 2,209,948,037,236 = 2,209,948,037,236 : x
  2. Step 2: Convert to fraction form
    947,087,857,264/2,209,948,037,236 = 2,209,948,037,236/x
  3. Step 3: Cross multiply
    947,087,857,264x = 2,209,948,037,236 × 2,209,948,037,236
  4. Step 4: Simplify right side
    947,087,857,264x = 4,883,870,327,283,248,843,980,800
  5. Step 5: Solve for x
    x = 4,883,870,327,283,248,843,980,800/947,087,857,264
  6. Step 6: Final answer
    x = 5,156,723,623,711.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.