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Finding the Third Proportional to 1,169,117,580 and 2,544,046,980

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Solution

The third proportional to 1,169,117,580 and 2,544,046,980 is: 5,535,948,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,117,580 : 2,544,046,980 = 2,544,046,980 : x
  2. Step 2: Convert to fraction form
    1,169,117,580/2,544,046,980 = 2,544,046,980/x
  3. Step 3: Cross multiply
    1,169,117,580x = 2,544,046,980 × 2,544,046,980
  4. Step 4: Simplify right side
    1,169,117,580x = 6,472,175,036,447,120,384
  5. Step 5: Solve for x
    x = 6,472,175,036,447,120,384/1,169,117,580
  6. Step 6: Final answer
    x = 5,535,948,776.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.