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Finding the Third Proportional to 8,323,761,544 and 12,026,398,009

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Solution

The third proportional to 8,323,761,544 and 12,026,398,009 is: 17,376,068,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323,761,544 : 12,026,398,009 = 12,026,398,009 : x
  2. Step 2: Convert to fraction form
    8,323,761,544/12,026,398,009 = 12,026,398,009/x
  3. Step 3: Cross multiply
    8,323,761,544x = 12,026,398,009 × 12,026,398,009
  4. Step 4: Simplify right side
    8,323,761,544x = 144,634,249,070,879,162,368
  5. Step 5: Solve for x
    x = 144,634,249,070,879,162,368/8,323,761,544
  6. Step 6: Final answer
    x = 17,376,068,296.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.