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Finding the Third Proportional to 32,970,968 and 70,817,200

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Solution

The third proportional to 32,970,968 and 70,817,200 is: 152,105,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970,968 : 70,817,200 = 70,817,200 : x
  2. Step 2: Convert to fraction form
    32,970,968/70,817,200 = 70,817,200/x
  3. Step 3: Cross multiply
    32,970,968x = 70,817,200 × 70,817,200
  4. Step 4: Simplify right side
    32,970,968x = 5,015,075,815,840,000
  5. Step 5: Solve for x
    x = 5,015,075,815,840,000/32,970,968
  6. Step 6: Final answer
    x = 152,105,810.66

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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.