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Finding the Third Proportional to 891,326,419,292.25 and 1,957,756,473,906.80

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Solution

The third proportional to 891,326,419,292.25 and 1,957,756,473,906.80 is: 4,300,119,830,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,326,419,292.25 : 1,957,756,473,906.80 = 1,957,756,473,906.80 : x
  2. Step 2: Convert to fraction form
    891,326,419,292.25/1,957,756,473,906.80 = 1,957,756,473,906.80/x
  3. Step 3: Cross multiply
    891,326,419,292.25x = 1,957,756,473,906.80 × 1,957,756,473,906.80
  4. Step 4: Simplify right side
    891,326,419,292.25x = 3,832,810,411,123,987,248,578,560
  5. Step 5: Solve for x
    x = 3,832,810,411,123,987,248,578,560/891,326,419,292.25
  6. Step 6: Final answer
    x = 4,300,119,830,586.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.