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Finding the Third Proportional to 523,865,036 and 873,055,776

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Solution

The third proportional to 523,865,036 and 873,055,776 is: 1,455,005,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,865,036 : 873,055,776 = 873,055,776 : x
  2. Step 2: Convert to fraction form
    523,865,036/873,055,776 = 873,055,776/x
  3. Step 3: Cross multiply
    523,865,036x = 873,055,776 × 873,055,776
  4. Step 4: Simplify right side
    523,865,036x = 762,226,388,006,962,176
  5. Step 5: Solve for x
    x = 762,226,388,006,962,176/523,865,036
  6. Step 6: Final answer
    x = 1,455,005,269.73

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.