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Finding the Third Proportional to 722,952,514.40 and 1,574,250,381.96

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Solution

The third proportional to 722,952,514.40 and 1,574,250,381.96 is: 3,427,976,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,952,514.40 : 1,574,250,381.96 = 1,574,250,381.96 : x
  2. Step 2: Convert to fraction form
    722,952,514.40/1,574,250,381.96 = 1,574,250,381.96/x
  3. Step 3: Cross multiply
    722,952,514.40x = 1,574,250,381.96 × 1,574,250,381.96
  4. Step 4: Simplify right side
    722,952,514.40x = 2,478,264,265,098,057,728
  5. Step 5: Solve for x
    x = 2,478,264,265,098,057,728/722,952,514.40
  6. Step 6: Final answer
    x = 3,427,976,548.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.