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Finding the Third Proportional to 291,315,957 and 624,081,030

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Solution

The third proportional to 291,315,957 and 624,081,030 is: 1,336,957,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,315,957 : 624,081,030 = 624,081,030 : x
  2. Step 2: Convert to fraction form
    291,315,957/624,081,030 = 624,081,030/x
  3. Step 3: Cross multiply
    291,315,957x = 624,081,030 × 624,081,030
  4. Step 4: Simplify right side
    291,315,957x = 389,477,132,005,860,928
  5. Step 5: Solve for x
    x = 389,477,132,005,860,928/291,315,957
  6. Step 6: Final answer
    x = 1,336,957,769.21

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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.