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Finding the Third Proportional to 582,625,414.41 and 1,248,354,915.19

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Solution

The third proportional to 582,625,414.41 and 1,248,354,915.19 is: 2,674,771,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,625,414.41 : 1,248,354,915.19 = 1,248,354,915.19 : x
  2. Step 2: Convert to fraction form
    582,625,414.41/1,248,354,915.19 = 1,248,354,915.19/x
  3. Step 3: Cross multiply
    582,625,414.41x = 1,248,354,915.19 × 1,248,354,915.19
  4. Step 4: Simplify right side
    582,625,414.41x = 1,558,389,994,272,790,272
  5. Step 5: Solve for x
    x = 1,558,389,994,272,790,272/582,625,414.41
  6. Step 6: Final answer
    x = 2,674,771,741.40

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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.