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Finding the Third Proportional to 34,443,205,272 and 47,890,523,818.50

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Solution

The third proportional to 34,443,205,272 and 47,890,523,818.50 is: 66,587,945,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,443,205,272 : 47,890,523,818.50 = 47,890,523,818.50 : x
  2. Step 2: Convert to fraction form
    34,443,205,272/47,890,523,818.50 = 47,890,523,818.50/x
  3. Step 3: Cross multiply
    34,443,205,272x = 47,890,523,818.50 × 47,890,523,818.50
  4. Step 4: Simplify right side
    34,443,205,272x = 2,293,502,271,610,315,866,112
  5. Step 5: Solve for x
    x = 2,293,502,271,610,315,866,112/34,443,205,272
  6. Step 6: Final answer
    x = 66,587,945,387.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.