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Finding the Third Proportional to 2,068,682,758,308.80 and 4,833,376,534,536.80

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Solution

The third proportional to 2,068,682,758,308.80 and 4,833,376,534,536.80 is: 11,292,948,921,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,682,758,308.80 : 4,833,376,534,536.80 = 4,833,376,534,536.80 : x
  2. Step 2: Convert to fraction form
    2,068,682,758,308.80/4,833,376,534,536.80 = 4,833,376,534,536.80/x
  3. Step 3: Cross multiply
    2,068,682,758,308.80x = 4,833,376,534,536.80 × 4,833,376,534,536.80
  4. Step 4: Simplify right side
    2,068,682,758,308.80x = 23,361,528,724,610,964,898,447,360
  5. Step 5: Solve for x
    x = 23,361,528,724,610,964,898,447,360/2,068,682,758,308.80
  6. Step 6: Final answer
    x = 11,292,948,921,616.96

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.