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Finding the Third Proportional to 1,696,986,585 and 3,653,325,045

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Solution

The third proportional to 1,696,986,585 and 3,653,325,045 is: 7,864,990,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,986,585 : 3,653,325,045 = 3,653,325,045 : x
  2. Step 2: Convert to fraction form
    1,696,986,585/3,653,325,045 = 3,653,325,045/x
  3. Step 3: Cross multiply
    1,696,986,585x = 3,653,325,045 × 3,653,325,045
  4. Step 4: Simplify right side
    1,696,986,585x = 13,346,783,884,424,251,392
  5. Step 5: Solve for x
    x = 13,346,783,884,424,251,392/1,696,986,585
  6. Step 6: Final answer
    x = 7,864,990,803.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.