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Finding the Third Proportional to 1,543,803,405 and 2,385,432,222

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Solution

The third proportional to 1,543,803,405 and 2,385,432,222 is: 3,685,888,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,803,405 : 2,385,432,222 = 2,385,432,222 : x
  2. Step 2: Convert to fraction form
    1,543,803,405/2,385,432,222 = 2,385,432,222/x
  3. Step 3: Cross multiply
    1,543,803,405x = 2,385,432,222 × 2,385,432,222
  4. Step 4: Simplify right side
    1,543,803,405x = 5,690,286,885,755,856,896
  5. Step 5: Solve for x
    x = 5,690,286,885,755,856,896/1,543,803,405
  6. Step 6: Final answer
    x = 3,685,888,285.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.