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Finding the Third Proportional to 1,779,228,243 and 3,705,722,154

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Solution

The third proportional to 1,779,228,243 and 3,705,722,154 is: 7,718,164,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779,228,243 : 3,705,722,154 = 3,705,722,154 : x
  2. Step 2: Convert to fraction form
    1,779,228,243/3,705,722,154 = 3,705,722,154/x
  3. Step 3: Cross multiply
    1,779,228,243x = 3,705,722,154 × 3,705,722,154
  4. Step 4: Simplify right side
    1,779,228,243x = 13,732,376,682,646,398,976
  5. Step 5: Solve for x
    x = 13,732,376,682,646,398,976/1,779,228,243
  6. Step 6: Final answer
    x = 7,718,164,736.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.