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Finding the Third Proportional to 51,982,135,964 and 113,929,587,984

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Solution

The third proportional to 51,982,135,964 and 113,929,587,984 is: 249,700,224,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982,135,964 : 113,929,587,984 = 113,929,587,984 : x
  2. Step 2: Convert to fraction form
    51,982,135,964/113,929,587,984 = 113,929,587,984/x
  3. Step 3: Cross multiply
    51,982,135,964x = 113,929,587,984 × 113,929,587,984
  4. Step 4: Simplify right side
    51,982,135,964x = 12,979,951,018,203,997,536,256
  5. Step 5: Solve for x
    x = 12,979,951,018,203,997,536,256/51,982,135,964
  6. Step 6: Final answer
    x = 249,700,224,461.60

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