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Finding the Third Proportional to 29,772,165.50 and 64,106,014.50

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Solution

The third proportional to 29,772,165.50 and 64,106,014.50 is: 138,034,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772,165.50 : 64,106,014.50 = 64,106,014.50 : x
  2. Step 2: Convert to fraction form
    29,772,165.50/64,106,014.50 = 64,106,014.50/x
  3. Step 3: Cross multiply
    29,772,165.50x = 64,106,014.50 × 64,106,014.50
  4. Step 4: Simplify right side
    29,772,165.50x = 4,109,581,095,074,210
  5. Step 5: Solve for x
    x = 4,109,581,095,074,210/29,772,165.50
  6. Step 6: Final answer
    x = 138,034,335.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.