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Finding the Third Proportional to 56,866,475,760 and 125,106,047,772

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Solution

The third proportional to 56,866,475,760 and 125,106,047,772 is: 275,232,867,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,866,475,760 : 125,106,047,772 = 125,106,047,772 : x
  2. Step 2: Convert to fraction form
    56,866,475,760/125,106,047,772 = 125,106,047,772/x
  3. Step 3: Cross multiply
    56,866,475,760x = 125,106,047,772 × 125,106,047,772
  4. Step 4: Simplify right side
    56,866,475,760x = 15,651,523,189,129,946,857,472
  5. Step 5: Solve for x
    x = 15,651,523,189,129,946,857,472/56,866,475,760
  6. Step 6: Final answer
    x = 275,232,867,519.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.