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Finding the Third Proportional to 418,541,257.50 and 977,590,097.25

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Solution

The third proportional to 418,541,257.50 and 977,590,097.25 is: 2,283,364,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,541,257.50 : 977,590,097.25 = 977,590,097.25 : x
  2. Step 2: Convert to fraction form
    418,541,257.50/977,590,097.25 = 977,590,097.25/x
  3. Step 3: Cross multiply
    418,541,257.50x = 977,590,097.25 × 977,590,097.25
  4. Step 4: Simplify right side
    418,541,257.50x = 955,682,398,241,264,512
  5. Step 5: Solve for x
    x = 955,682,398,241,264,512/418,541,257.50
  6. Step 6: Final answer
    x = 2,283,364,856.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.