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Finding the Third Proportional to 32,523,184 and 70,714,856

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Solution

The third proportional to 32,523,184 and 70,714,856 is: 153,754,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523,184 : 70,714,856 = 70,714,856 : x
  2. Step 2: Convert to fraction form
    32,523,184/70,714,856 = 70,714,856/x
  3. Step 3: Cross multiply
    32,523,184x = 70,714,856 × 70,714,856
  4. Step 4: Simplify right side
    32,523,184x = 5,000,590,859,100,736
  5. Step 5: Solve for x
    x = 5,000,590,859,100,736/32,523,184
  6. Step 6: Final answer
    x = 153,754,652.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.