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Finding the Third Proportional to 5,111,255,682 and 7,851,514,595

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Solution

The third proportional to 5,111,255,682 and 7,851,514,595 is: 12,060,887,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111,255,682 : 7,851,514,595 = 7,851,514,595 : x
  2. Step 2: Convert to fraction form
    5,111,255,682/7,851,514,595 = 7,851,514,595/x
  3. Step 3: Cross multiply
    5,111,255,682x = 7,851,514,595 × 7,851,514,595
  4. Step 4: Simplify right side
    5,111,255,682x = 61,646,281,435,498,012,672
  5. Step 5: Solve for x
    x = 61,646,281,435,498,012,672/5,111,255,682
  6. Step 6: Final answer
    x = 12,060,887,826.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.