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Finding the Third Proportional to 4,038,517,569 and 6,203,657,454

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Solution

The third proportional to 4,038,517,569 and 6,203,657,454 is: 9,529,577,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038,517,569 : 6,203,657,454 = 6,203,657,454 : x
  2. Step 2: Convert to fraction form
    4,038,517,569/6,203,657,454 = 6,203,657,454/x
  3. Step 3: Cross multiply
    4,038,517,569x = 6,203,657,454 × 6,203,657,454
  4. Step 4: Simplify right side
    4,038,517,569x = 38,485,365,806,569,758,720
  5. Step 5: Solve for x
    x = 38,485,365,806,569,758,720/4,038,517,569
  6. Step 6: Final answer
    x = 9,529,577,412.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.