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Finding the Third Proportional to 1,691,823,060 and 2,586,361,441.50

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Solution

The third proportional to 1,691,823,060 and 2,586,361,441.50 is: 3,953,880,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,823,060 : 2,586,361,441.50 = 2,586,361,441.50 : x
  2. Step 2: Convert to fraction form
    1,691,823,060/2,586,361,441.50 = 2,586,361,441.50/x
  3. Step 3: Cross multiply
    1,691,823,060x = 2,586,361,441.50 × 2,586,361,441.50
  4. Step 4: Simplify right side
    1,691,823,060x = 6,689,265,506,077,958,144
  5. Step 5: Solve for x
    x = 6,689,265,506,077,958,144/1,691,823,060
  6. Step 6: Final answer
    x = 3,953,880,086.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.