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Finding the Third Proportional to 29,933,812.50 and 64,657,639.50

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Solution

The third proportional to 29,933,812.50 and 64,657,639.50 is: 139,661,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,933,812.50 : 64,657,639.50 = 64,657,639.50 : x
  2. Step 2: Convert to fraction form
    29,933,812.50/64,657,639.50 = 64,657,639.50/x
  3. Step 3: Cross multiply
    29,933,812.50x = 64,657,639.50 × 64,657,639.50
  4. Step 4: Simplify right side
    29,933,812.50x = 4,180,610,345,711,960
  5. Step 5: Solve for x
    x = 4,180,610,345,711,960/29,933,812.50
  6. Step 6: Final answer
    x = 139,661,807.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.