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Finding the Third Proportional to 6,772,294 and 14,463,040

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Solution

The third proportional to 6,772,294 and 14,463,040 is: 30,887,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772,294 : 14,463,040 = 14,463,040 : x
  2. Step 2: Convert to fraction form
    6,772,294/14,463,040 = 14,463,040/x
  3. Step 3: Cross multiply
    6,772,294x = 14,463,040 × 14,463,040
  4. Step 4: Simplify right side
    6,772,294x = 209,179,526,041,600
  5. Step 5: Solve for x
    x = 209,179,526,041,600/6,772,294
  6. Step 6: Final answer
    x = 30,887,543.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.