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Finding the Third Proportional to 808,566,651 and 1,655,436,906

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Solution

The third proportional to 808,566,651 and 1,655,436,906 is: 3,389,295,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,566,651 : 1,655,436,906 = 1,655,436,906 : x
  2. Step 2: Convert to fraction form
    808,566,651/1,655,436,906 = 1,655,436,906/x
  3. Step 3: Cross multiply
    808,566,651x = 1,655,436,906 × 1,655,436,906
  4. Step 4: Simplify right side
    808,566,651x = 2,740,471,349,746,852,864
  5. Step 5: Solve for x
    x = 2,740,471,349,746,852,864/808,566,651
  6. Step 6: Final answer
    x = 3,389,295,547.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.