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Finding the Third Proportional to 56,611,365.75 and 123,822,006.75

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Solution

The third proportional to 56,611,365.75 and 123,822,006.75 is: 270,827,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,611,365.75 : 123,822,006.75 = 123,822,006.75 : x
  2. Step 2: Convert to fraction form
    56,611,365.75/123,822,006.75 = 123,822,006.75/x
  3. Step 3: Cross multiply
    56,611,365.75x = 123,822,006.75 × 123,822,006.75
  4. Step 4: Simplify right side
    56,611,365.75x = 15,331,889,355,597,046
  5. Step 5: Solve for x
    x = 15,331,889,355,597,046/56,611,365.75
  6. Step 6: Final answer
    x = 270,827,053.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.