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Finding the Third Proportional to 708,534,769.50 and 1,546,009,605

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Solution

The third proportional to 708,534,769.50 and 1,546,009,605 is: 3,373,364,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,534,769.50 : 1,546,009,605 = 1,546,009,605 : x
  2. Step 2: Convert to fraction form
    708,534,769.50/1,546,009,605 = 1,546,009,605/x
  3. Step 3: Cross multiply
    708,534,769.50x = 1,546,009,605 × 1,546,009,605
  4. Step 4: Simplify right side
    708,534,769.50x = 2,390,145,698,752,256,000
  5. Step 5: Solve for x
    x = 2,390,145,698,752,256,000/708,534,769.50
  6. Step 6: Final answer
    x = 3,373,364,020.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.