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Finding the Third Proportional to 1,441,483,776 and 3,147,192,144

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Solution

The third proportional to 1,441,483,776 and 3,147,192,144 is: 6,871,265,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,483,776 : 3,147,192,144 = 3,147,192,144 : x
  2. Step 2: Convert to fraction form
    1,441,483,776/3,147,192,144 = 3,147,192,144/x
  3. Step 3: Cross multiply
    1,441,483,776x = 3,147,192,144 × 3,147,192,144
  4. Step 4: Simplify right side
    1,441,483,776x = 9,904,818,391,255,316,480
  5. Step 5: Solve for x
    x = 9,904,818,391,255,316,480/1,441,483,776
  6. Step 6: Final answer
    x = 6,871,265,952.60

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