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Finding the Third Proportional to 659,968,154 and 1,374,141,076

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Solution

The third proportional to 659,968,154 and 1,374,141,076 is: 2,861,143,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,968,154 : 1,374,141,076 = 1,374,141,076 : x
  2. Step 2: Convert to fraction form
    659,968,154/1,374,141,076 = 1,374,141,076/x
  3. Step 3: Cross multiply
    659,968,154x = 1,374,141,076 × 1,374,141,076
  4. Step 4: Simplify right side
    659,968,154x = 1,888,263,696,750,437,888
  5. Step 5: Solve for x
    x = 1,888,263,696,750,437,888/659,968,154
  6. Step 6: Final answer
    x = 2,861,143,655.65

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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.