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Finding the Third Proportional to 24,037,482,580 and 51,382,964,984

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Solution

The third proportional to 24,037,482,580 and 51,382,964,984 is: 109,837,171,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,037,482,580 : 51,382,964,984 = 51,382,964,984 : x
  2. Step 2: Convert to fraction form
    24,037,482,580/51,382,964,984 = 51,382,964,984/x
  3. Step 3: Cross multiply
    24,037,482,580x = 51,382,964,984 × 51,382,964,984
  4. Step 4: Simplify right side
    24,037,482,580x = 2,640,209,090,546,969,870,336
  5. Step 5: Solve for x
    x = 2,640,209,090,546,969,870,336/24,037,482,580
  6. Step 6: Final answer
    x = 109,837,171,249.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.