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Finding the Third Proportional to 248,781,964 and 513,461,912

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Solution

The third proportional to 248,781,964 and 513,461,912 is: 1,059,735,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,781,964 : 513,461,912 = 513,461,912 : x
  2. Step 2: Convert to fraction form
    248,781,964/513,461,912 = 513,461,912/x
  3. Step 3: Cross multiply
    248,781,964x = 513,461,912 × 513,461,912
  4. Step 4: Simplify right side
    248,781,964x = 263,643,135,074,695,744
  5. Step 5: Solve for x
    x = 263,643,135,074,695,744/248,781,964
  6. Step 6: Final answer
    x = 1,059,735,725.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.