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Finding the Third Proportional to 523,865,034 and 873,055,773

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Solution

The third proportional to 523,865,034 and 873,055,773 is: 1,455,005,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,865,034 : 873,055,773 = 873,055,773 : x
  2. Step 2: Convert to fraction form
    523,865,034/873,055,773 = 873,055,773/x
  3. Step 3: Cross multiply
    523,865,034x = 873,055,773 × 873,055,773
  4. Step 4: Simplify right side
    523,865,034x = 762,226,382,768,627,584
  5. Step 5: Solve for x
    x = 762,226,382,768,627,584/523,865,034
  6. Step 6: Final answer
    x = 1,455,005,265.28

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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.