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Finding the Third Proportional to 291,344,328 and 624,009,168

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Solution

The third proportional to 291,344,328 and 624,009,168 is: 1,336,519,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,344,328 : 624,009,168 = 624,009,168 : x
  2. Step 2: Convert to fraction form
    291,344,328/624,009,168 = 624,009,168/x
  3. Step 3: Cross multiply
    291,344,328x = 624,009,168 × 624,009,168
  4. Step 4: Simplify right side
    291,344,328x = 389,387,441,748,052,224
  5. Step 5: Solve for x
    x = 389,387,441,748,052,224/291,344,328
  6. Step 6: Final answer
    x = 1,336,519,727.09

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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.