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Finding the Third Proportional to 1,232,713,323 and 2,639,968,200

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Solution

The third proportional to 1,232,713,323 and 2,639,968,200 is: 5,653,733,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,713,323 : 2,639,968,200 = 2,639,968,200 : x
  2. Step 2: Convert to fraction form
    1,232,713,323/2,639,968,200 = 2,639,968,200/x
  3. Step 3: Cross multiply
    1,232,713,323x = 2,639,968,200 × 2,639,968,200
  4. Step 4: Simplify right side
    1,232,713,323x = 6,969,432,097,011,239,936
  5. Step 5: Solve for x
    x = 6,969,432,097,011,239,936/1,232,713,323
  6. Step 6: Final answer
    x = 5,653,733,083.74

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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.