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Finding the Third Proportional to 6,985,460 and 15,269,509

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Solution

The third proportional to 6,985,460 and 15,269,509 is: 33,377,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985,460 : 15,269,509 = 15,269,509 : x
  2. Step 2: Convert to fraction form
    6,985,460/15,269,509 = 15,269,509/x
  3. Step 3: Cross multiply
    6,985,460x = 15,269,509 × 15,269,509
  4. Step 4: Simplify right side
    6,985,460x = 233,157,905,101,081
  5. Step 5: Solve for x
    x = 233,157,905,101,081/6,985,460
  6. Step 6: Final answer
    x = 33,377,602.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.