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Finding the Third Proportional to 64,012,153.50 and 91,471,973.63

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Solution

The third proportional to 64,012,153.50 and 91,471,973.63 is: 130,711,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,012,153.50 : 91,471,973.63 = 91,471,973.63 : x
  2. Step 2: Convert to fraction form
    64,012,153.50/91,471,973.63 = 91,471,973.63/x
  3. Step 3: Cross multiply
    64,012,153.50x = 91,471,973.63 × 91,471,973.63
  4. Step 4: Simplify right side
    64,012,153.50x = 8,367,121,958,852,696
  5. Step 5: Solve for x
    x = 8,367,121,958,852,696/64,012,153.50
  6. Step 6: Final answer
    x = 130,711,458.71

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.