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Finding the Third Proportional to 51,982,135,946 and 113,929,587,952

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Solution

The third proportional to 51,982,135,946 and 113,929,587,952 is: 249,700,224,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982,135,946 : 113,929,587,952 = 113,929,587,952 : x
  2. Step 2: Convert to fraction form
    51,982,135,946/113,929,587,952 = 113,929,587,952/x
  3. Step 3: Cross multiply
    51,982,135,946x = 113,929,587,952 × 113,929,587,952
  4. Step 4: Simplify right side
    51,982,135,946x = 12,979,951,010,912,504,119,296
  5. Step 5: Solve for x
    x = 12,979,951,010,912,504,119,296/51,982,135,946
  6. Step 6: Final answer
    x = 249,700,224,407.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.