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Finding the Third Proportional to 65,728,944 and 141,850,440

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Solution

The third proportional to 65,728,944 and 141,850,440 is: 306,129,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728,944 : 141,850,440 = 141,850,440 : x
  2. Step 2: Convert to fraction form
    65,728,944/141,850,440 = 141,850,440/x
  3. Step 3: Cross multiply
    65,728,944x = 141,850,440 × 141,850,440
  4. Step 4: Simplify right side
    65,728,944x = 20,121,547,328,193,600
  5. Step 5: Solve for x
    x = 20,121,547,328,193,600/65,728,944
  6. Step 6: Final answer
    x = 306,129,173.90

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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.