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Finding the Third Proportional to 234,312,866 and 503,889,057

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Solution

The third proportional to 234,312,866 and 503,889,057 is: 1,083,611,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,312,866 : 503,889,057 = 503,889,057 : x
  2. Step 2: Convert to fraction form
    234,312,866/503,889,057 = 503,889,057/x
  3. Step 3: Cross multiply
    234,312,866x = 503,889,057 × 503,889,057
  4. Step 4: Simplify right side
    234,312,866x = 253,904,181,764,349,248
  5. Step 5: Solve for x
    x = 253,904,181,764,349,248/234,312,866
  6. Step 6: Final answer
    x = 1,083,611,779.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.