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Finding the Third Proportional to 1,543,803,360 and 2,385,432,144

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Solution

The third proportional to 1,543,803,360 and 2,385,432,144 is: 3,685,888,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,803,360 : 2,385,432,144 = 2,385,432,144 : x
  2. Step 2: Convert to fraction form
    1,543,803,360/2,385,432,144 = 2,385,432,144/x
  3. Step 3: Cross multiply
    1,543,803,360x = 2,385,432,144 × 2,385,432,144
  4. Step 4: Simplify right side
    1,543,803,360x = 5,690,286,513,628,436,480
  5. Step 5: Solve for x
    x = 5,690,286,513,628,436,480/1,543,803,360
  6. Step 6: Final answer
    x = 3,685,888,151.99

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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.