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Finding the Third Proportional to 32,505,102 and 67,700,618

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Solution

The third proportional to 32,505,102 and 67,700,618 is: 141,004,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505,102 : 67,700,618 = 67,700,618 : x
  2. Step 2: Convert to fraction form
    32,505,102/67,700,618 = 67,700,618/x
  3. Step 3: Cross multiply
    32,505,102x = 67,700,618 × 67,700,618
  4. Step 4: Simplify right side
    32,505,102x = 4,583,373,677,581,924
  5. Step 5: Solve for x
    x = 4,583,373,677,581,924/32,505,102
  6. Step 6: Final answer
    x = 141,004,746.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.