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Finding the Third Proportional to 764,151,580 and 1,637,281,740

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Solution

The third proportional to 764,151,580 and 1,637,281,740 is: 3,508,062,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,151,580 : 1,637,281,740 = 1,637,281,740 : x
  2. Step 2: Convert to fraction form
    764,151,580/1,637,281,740 = 1,637,281,740/x
  3. Step 3: Cross multiply
    764,151,580x = 1,637,281,740 × 1,637,281,740
  4. Step 4: Simplify right side
    764,151,580x = 2,680,691,496,137,427,456
  5. Step 5: Solve for x
    x = 2,680,691,496,137,427,456/764,151,580
  6. Step 6: Final answer
    x = 3,508,062,492.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.