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Finding the Third Proportional to 65,009,706 and 135,400,284

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Solution

The third proportional to 65,009,706 and 135,400,284 is: 282,007,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009,706 : 135,400,284 = 135,400,284 : x
  2. Step 2: Convert to fraction form
    65,009,706/135,400,284 = 135,400,284/x
  3. Step 3: Cross multiply
    65,009,706x = 135,400,284 × 135,400,284
  4. Step 4: Simplify right side
    65,009,706x = 18,333,236,907,280,656
  5. Step 5: Solve for x
    x = 18,333,236,907,280,656/65,009,706
  6. Step 6: Final answer
    x = 282,007,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.