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Finding the Third Proportional to 32,970,944 and 70,817,152

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Solution

The third proportional to 32,970,944 and 70,817,152 is: 152,105,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970,944 : 70,817,152 = 70,817,152 : x
  2. Step 2: Convert to fraction form
    32,970,944/70,817,152 = 70,817,152/x
  3. Step 3: Cross multiply
    32,970,944x = 70,817,152 × 70,817,152
  4. Step 4: Simplify right side
    32,970,944x = 5,015,069,017,391,104
  5. Step 5: Solve for x
    x = 5,015,069,017,391,104/32,970,944
  6. Step 6: Final answer
    x = 152,105,715.18

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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.