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Finding the Third Proportional to 30,362,200.31 and 66,115,355.63

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Solution

The third proportional to 30,362,200.31 and 66,115,355.63 is: 143,969,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,362,200.31 : 66,115,355.63 = 66,115,355.63 : x
  2. Step 2: Convert to fraction form
    30,362,200.31/66,115,355.63 = 66,115,355.63/x
  3. Step 3: Cross multiply
    30,362,200.31x = 66,115,355.63 × 66,115,355.63
  4. Step 4: Simplify right side
    30,362,200.31x = 4,371,240,249,420,219
  5. Step 5: Solve for x
    x = 4,371,240,249,420,219/30,362,200.31
  6. Step 6: Final answer
    x = 143,969,811.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.