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Finding the Third Proportional to 32,405,697 and 70,374,987

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Solution

The third proportional to 32,405,697 and 70,374,987 is: 152,832,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405,697 : 70,374,987 = 70,374,987 : x
  2. Step 2: Convert to fraction form
    32,405,697/70,374,987 = 70,374,987/x
  3. Step 3: Cross multiply
    32,405,697x = 70,374,987 × 70,374,987
  4. Step 4: Simplify right side
    32,405,697x = 4,952,638,795,250,169
  5. Step 5: Solve for x
    x = 4,952,638,795,250,169/32,405,697
  6. Step 6: Final answer
    x = 152,832,349.05

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Why These Related Problems?

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