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Finding the Third Proportional to 603,646,500 and 1,293,347,080

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Solution

The third proportional to 603,646,500 and 1,293,347,080 is: 2,771,069,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,646,500 : 1,293,347,080 = 1,293,347,080 : x
  2. Step 2: Convert to fraction form
    603,646,500/1,293,347,080 = 1,293,347,080/x
  3. Step 3: Cross multiply
    603,646,500x = 1,293,347,080 × 1,293,347,080
  4. Step 4: Simplify right side
    603,646,500x = 1,672,746,669,344,526,336
  5. Step 5: Solve for x
    x = 1,672,746,669,344,526,336/603,646,500
  6. Step 6: Final answer
    x = 2,771,069,938.03

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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.