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Finding the Third Proportional to 66,335,120 and 143,535,904

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Solution

The third proportional to 66,335,120 and 143,535,904 is: 310,582,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,335,120 : 143,535,904 = 143,535,904 : x
  2. Step 2: Convert to fraction form
    66,335,120/143,535,904 = 143,535,904/x
  3. Step 3: Cross multiply
    66,335,120x = 143,535,904 × 143,535,904
  4. Step 4: Simplify right side
    66,335,120x = 20,602,555,737,097,216
  5. Step 5: Solve for x
    x = 20,602,555,737,097,216/66,335,120
  6. Step 6: Final answer
    x = 310,582,927.07

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Why These Related Problems?

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