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Finding the Third Proportional to 586,204,401,036 and 1,269,748,731,336

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Solution

The third proportional to 586,204,401,036 and 1,269,748,731,336 is: 2,750,340,730,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,204,401,036 : 1,269,748,731,336 = 1,269,748,731,336 : x
  2. Step 2: Convert to fraction form
    586,204,401,036/1,269,748,731,336 = 1,269,748,731,336/x
  3. Step 3: Cross multiply
    586,204,401,036x = 1,269,748,731,336 × 1,269,748,731,336
  4. Step 4: Simplify right side
    586,204,401,036x = 1,612,261,840,729,381,617,532,928
  5. Step 5: Solve for x
    x = 1,612,261,840,729,381,617,532,928/586,204,401,036
  6. Step 6: Final answer
    x = 2,750,340,730,775.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.