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Finding the Third Proportional to 943,758,072 and 1,465,325,712

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Solution

The third proportional to 943,758,072 and 1,465,325,712 is: 2,275,137,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,758,072 : 1,465,325,712 = 1,465,325,712 : x
  2. Step 2: Convert to fraction form
    943,758,072/1,465,325,712 = 1,465,325,712/x
  3. Step 3: Cross multiply
    943,758,072x = 1,465,325,712 × 1,465,325,712
  4. Step 4: Simplify right side
    943,758,072x = 2,147,179,442,248,306,944
  5. Step 5: Solve for x
    x = 2,147,179,442,248,306,944/943,758,072
  6. Step 6: Final answer
    x = 2,275,137,565.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.