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Finding the Third Proportional to 32,012,983 and 68,881,323.75

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Solution

The third proportional to 32,012,983 and 68,881,323.75 is: 148,209,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012,983 : 68,881,323.75 = 68,881,323.75 : x
  2. Step 2: Convert to fraction form
    32,012,983/68,881,323.75 = 68,881,323.75/x
  3. Step 3: Cross multiply
    32,012,983x = 68,881,323.75 × 68,881,323.75
  4. Step 4: Simplify right side
    32,012,983x = 4,744,636,761,552,314
  5. Step 5: Solve for x
    x = 4,744,636,761,552,314/32,012,983
  6. Step 6: Final answer
    x = 148,209,767.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.