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Finding the Third Proportional to 65,793,062 and 142,569,232

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Solution

The third proportional to 65,793,062 and 142,569,232 is: 308,938,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,793,062 : 142,569,232 = 142,569,232 : x
  2. Step 2: Convert to fraction form
    65,793,062/142,569,232 = 142,569,232/x
  3. Step 3: Cross multiply
    65,793,062x = 142,569,232 × 142,569,232
  4. Step 4: Simplify right side
    65,793,062x = 20,325,985,913,069,824
  5. Step 5: Solve for x
    x = 20,325,985,913,069,824/65,793,062
  6. Step 6: Final answer
    x = 308,938,135.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.