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Finding the Third Proportional to 1,232,713,242 and 2,639,968,038

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Solution

The third proportional to 1,232,713,242 and 2,639,968,038 is: 5,653,732,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,713,242 : 2,639,968,038 = 2,639,968,038 : x
  2. Step 2: Convert to fraction form
    1,232,713,242/2,639,968,038 = 2,639,968,038/x
  3. Step 3: Cross multiply
    1,232,713,242x = 2,639,968,038 × 2,639,968,038
  4. Step 4: Simplify right side
    1,232,713,242x = 6,969,431,241,661,569,024
  5. Step 5: Solve for x
    x = 6,969,431,241,661,569,024/1,232,713,242
  6. Step 6: Final answer
    x = 5,653,732,761.36

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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.