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Finding the Third Proportional to 540,124,645.50 and 858,931,924.50

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Solution

The third proportional to 540,124,645.50 and 858,931,924.50 is: 1,365,914,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,124,645.50 : 858,931,924.50 = 858,931,924.50 : x
  2. Step 2: Convert to fraction form
    540,124,645.50/858,931,924.50 = 858,931,924.50/x
  3. Step 3: Cross multiply
    540,124,645.50x = 858,931,924.50 × 858,931,924.50
  4. Step 4: Simplify right side
    540,124,645.50x = 737,764,050,925,273,728
  5. Step 5: Solve for x
    x = 737,764,050,925,273,728/540,124,645.50
  6. Step 6: Final answer
    x = 1,365,914,436.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.