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Finding the Third Proportional to 40,044,053,984 and 60,581,460,540

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Solution

The third proportional to 40,044,053,984 and 60,581,460,540 is: 91,651,893,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,044,053,984 : 60,581,460,540 = 60,581,460,540 : x
  2. Step 2: Convert to fraction form
    40,044,053,984/60,581,460,540 = 60,581,460,540/x
  3. Step 3: Cross multiply
    40,044,053,984x = 60,581,460,540 × 60,581,460,540
  4. Step 4: Simplify right side
    40,044,053,984x = 3,670,113,361,159,576,879,104
  5. Step 5: Solve for x
    x = 3,670,113,361,159,576,879,104/40,044,053,984
  6. Step 6: Final answer
    x = 91,651,893,253.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.