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Finding the Third Proportional to 291,315,960 and 624,081,036

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Solution

The third proportional to 291,315,960 and 624,081,036 is: 1,336,957,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,315,960 : 624,081,036 = 624,081,036 : x
  2. Step 2: Convert to fraction form
    291,315,960/624,081,036 = 624,081,036/x
  3. Step 3: Cross multiply
    291,315,960x = 624,081,036 × 624,081,036
  4. Step 4: Simplify right side
    291,315,960x = 389,477,139,494,833,280
  5. Step 5: Solve for x
    x = 389,477,139,494,833,280/291,315,960
  6. Step 6: Final answer
    x = 1,336,957,781.15

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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.