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Finding the Third Proportional to 1,232,713,331 and 2,639,968,216

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Solution

The third proportional to 1,232,713,331 and 2,639,968,216 is: 5,653,733,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,713,331 : 2,639,968,216 = 2,639,968,216 : x
  2. Step 2: Convert to fraction form
    1,232,713,331/2,639,968,216 = 2,639,968,216/x
  3. Step 3: Cross multiply
    1,232,713,331x = 2,639,968,216 × 2,639,968,216
  4. Step 4: Simplify right side
    1,232,713,331x = 6,969,432,181,490,223,104
  5. Step 5: Solve for x
    x = 6,969,432,181,490,223,104/1,232,713,331
  6. Step 6: Final answer
    x = 5,653,733,115.58

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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.