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Finding the Third Proportional to 47,120,967,505 and 66,120,045,458

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Solution

The third proportional to 47,120,967,505 and 66,120,045,458 is: 92,779,512,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,120,967,505 : 66,120,045,458 = 66,120,045,458 : x
  2. Step 2: Convert to fraction form
    47,120,967,505/66,120,045,458 = 66,120,045,458/x
  3. Step 3: Cross multiply
    47,120,967,505x = 66,120,045,458 × 66,120,045,458
  4. Step 4: Simplify right side
    47,120,967,505x = 4,371,860,411,367,986,561,024
  5. Step 5: Solve for x
    x = 4,371,860,411,367,986,561,024/47,120,967,505
  6. Step 6: Final answer
    x = 92,779,512,876.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.