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Finding the Third Proportional to 1,399,887,292 and 2,999,449,377

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Solution

The third proportional to 1,399,887,292 and 2,999,449,377 is: 6,426,729,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,887,292 : 2,999,449,377 = 2,999,449,377 : x
  2. Step 2: Convert to fraction form
    1,399,887,292/2,999,449,377 = 2,999,449,377/x
  3. Step 3: Cross multiply
    1,399,887,292x = 2,999,449,377 × 2,999,449,377
  4. Step 4: Simplify right side
    1,399,887,292x = 8,996,696,565,185,688,576
  5. Step 5: Solve for x
    x = 8,996,696,565,185,688,576/1,399,887,292
  6. Step 6: Final answer
    x = 6,426,729,220.70

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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.