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Finding the Third Proportional to 1,779,228,245 and 3,705,722,158

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Solution

The third proportional to 1,779,228,245 and 3,705,722,158 is: 7,718,164,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779,228,245 : 3,705,722,158 = 3,705,722,158 : x
  2. Step 2: Convert to fraction form
    1,779,228,245/3,705,722,158 = 3,705,722,158/x
  3. Step 3: Cross multiply
    1,779,228,245x = 3,705,722,158 × 3,705,722,158
  4. Step 4: Simplify right side
    1,779,228,245x = 13,732,376,712,292,177,920
  5. Step 5: Solve for x
    x = 13,732,376,712,292,177,920/1,779,228,245
  6. Step 6: Final answer
    x = 7,718,164,744.11

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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.