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Finding the Third Proportional to 32,069,180.81 and 70,018,794.56

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Solution

The third proportional to 32,069,180.81 and 70,018,794.56 is: 152,876,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069,180.81 : 70,018,794.56 = 70,018,794.56 : x
  2. Step 2: Convert to fraction form
    32,069,180.81/70,018,794.56 = 70,018,794.56/x
  3. Step 3: Cross multiply
    32,069,180.81x = 70,018,794.56 × 70,018,794.56
  4. Step 4: Simplify right side
    32,069,180.81x = 4,902,631,591,985,580
  5. Step 5: Solve for x
    x = 4,902,631,591,985,580/32,069,180.81
  6. Step 6: Final answer
    x = 152,876,732.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.