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Finding the Third Proportional to 363,260,483,092.14 and 778,335,113,538.28

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Solution

The third proportional to 363,260,483,092.14 and 778,335,113,538.28 is: 1,667,689,102,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,260,483,092.14 : 778,335,113,538.28 = 778,335,113,538.28 : x
  2. Step 2: Convert to fraction form
    363,260,483,092.14/778,335,113,538.28 = 778,335,113,538.28/x
  3. Step 3: Cross multiply
    363,260,483,092.14x = 778,335,113,538.28 × 778,335,113,538.28
  4. Step 4: Simplify right side
    363,260,483,092.14x = 605,805,548,966,647,242,424,320
  5. Step 5: Solve for x
    x = 605,805,548,966,647,242,424,320/363,260,483,092.14
  6. Step 6: Final answer
    x = 1,667,689,102,348.59

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1.5x scale

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.