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Finding the Third Proportional to 337,181,270,076 and 728,103,386,888

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Solution

The third proportional to 337,181,270,076 and 728,103,386,888 is: 1,572,253,826,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,181,270,076 : 728,103,386,888 = 728,103,386,888 : x
  2. Step 2: Convert to fraction form
    337,181,270,076/728,103,386,888 = 728,103,386,888/x
  3. Step 3: Cross multiply
    337,181,270,076x = 728,103,386,888 × 728,103,386,888
  4. Step 4: Simplify right side
    337,181,270,076x = 530,134,541,997,776,585,097,216
  5. Step 5: Solve for x
    x = 530,134,541,997,776,585,097,216/337,181,270,076
  6. Step 6: Final answer
    x = 1,572,253,826,193.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.