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Finding the Third Proportional to 61,982,140 and 135,124,556

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Solution

The third proportional to 61,982,140 and 135,124,556 is: 294,579,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982,140 : 135,124,556 = 135,124,556 : x
  2. Step 2: Convert to fraction form
    61,982,140/135,124,556 = 135,124,556/x
  3. Step 3: Cross multiply
    61,982,140x = 135,124,556 × 135,124,556
  4. Step 4: Simplify right side
    61,982,140x = 18,258,645,634,197,136
  5. Step 5: Solve for x
    x = 18,258,645,634,197,136/61,982,140
  6. Step 6: Final answer
    x = 294,579,142.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.