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Finding the Third Proportional to 2,204,276,522 and 4,759,205,688

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Solution

The third proportional to 2,204,276,522 and 4,759,205,688 is: 10,275,497,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204,276,522 : 4,759,205,688 = 4,759,205,688 : x
  2. Step 2: Convert to fraction form
    2,204,276,522/4,759,205,688 = 4,759,205,688/x
  3. Step 3: Cross multiply
    2,204,276,522x = 4,759,205,688 × 4,759,205,688
  4. Step 4: Simplify right side
    2,204,276,522x = 22,650,038,780,691,554,304
  5. Step 5: Solve for x
    x = 22,650,038,780,691,554,304/2,204,276,522
  6. Step 6: Final answer
    x = 10,275,497,903.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.