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Finding the Third Proportional to 1,068,957,972 and 2,235,653,460

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Solution

The third proportional to 1,068,957,972 and 2,235,653,460 is: 4,675,718,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,957,972 : 2,235,653,460 = 2,235,653,460 : x
  2. Step 2: Convert to fraction form
    1,068,957,972/2,235,653,460 = 2,235,653,460/x
  3. Step 3: Cross multiply
    1,068,957,972x = 2,235,653,460 × 2,235,653,460
  4. Step 4: Simplify right side
    1,068,957,972x = 4,998,146,393,209,971,712
  5. Step 5: Solve for x
    x = 4,998,146,393,209,971,712/1,068,957,972
  6. Step 6: Final answer
    x = 4,675,718,338.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.