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Finding the Third Proportional to 32,580,618 and 47,805,813

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Solution

The third proportional to 32,580,618 and 47,805,813 is: 70,145,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580,618 : 47,805,813 = 47,805,813 : x
  2. Step 2: Convert to fraction form
    32,580,618/47,805,813 = 47,805,813/x
  3. Step 3: Cross multiply
    32,580,618x = 47,805,813 × 47,805,813
  4. Step 4: Simplify right side
    32,580,618x = 2,285,395,756,590,969
  5. Step 5: Solve for x
    x = 2,285,395,756,590,969/32,580,618
  6. Step 6: Final answer
    x = 70,145,868.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.