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Finding the Third Proportional to 314,530,623.81 and 469,068,362.28

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Solution

The third proportional to 314,530,623.81 and 469,068,362.28 is: 699,534,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,530,623.81 : 469,068,362.28 = 469,068,362.28 : x
  2. Step 2: Convert to fraction form
    314,530,623.81/469,068,362.28 = 469,068,362.28/x
  3. Step 3: Cross multiply
    314,530,623.81x = 469,068,362.28 × 469,068,362.28
  4. Step 4: Simplify right side
    314,530,623.81x = 220,025,128,491,365,888
  5. Step 5: Solve for x
    x = 220,025,128,491,365,888/314,530,623.81
  6. Step 6: Final answer
    x = 699,534,836.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.