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Finding the Third Proportional to 1,089,709,068 and 1,691,981,586

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Solution

The third proportional to 1,089,709,068 and 1,691,981,586 is: 2,627,124,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,709,068 : 1,691,981,586 = 1,691,981,586 : x
  2. Step 2: Convert to fraction form
    1,089,709,068/1,691,981,586 = 1,691,981,586/x
  3. Step 3: Cross multiply
    1,089,709,068x = 1,691,981,586 × 1,691,981,586
  4. Step 4: Simplify right side
    1,089,709,068x = 2,862,801,687,363,075,584
  5. Step 5: Solve for x
    x = 2,862,801,687,363,075,584/1,089,709,068
  6. Step 6: Final answer
    x = 2,627,124,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.