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Finding the Third Proportional to 1,778,686,205 and 3,863,566,828

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Solution

The third proportional to 1,778,686,205 and 3,863,566,828 is: 8,392,232,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,686,205 : 3,863,566,828 = 3,863,566,828 : x
  2. Step 2: Convert to fraction form
    1,778,686,205/3,863,566,828 = 3,863,566,828/x
  3. Step 3: Cross multiply
    1,778,686,205x = 3,863,566,828 × 3,863,566,828
  4. Step 4: Simplify right side
    1,778,686,205x = 14,927,148,634,421,981,184
  5. Step 5: Solve for x
    x = 14,927,148,634,421,981,184/1,778,686,205
  6. Step 6: Final answer
    x = 8,392,232,757.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.