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Finding the Third Proportional to 6,774,966 and 9,657,859

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Solution

The third proportional to 6,774,966 and 9,657,859 is: 13,767,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,966 : 9,657,859 = 9,657,859 : x
  2. Step 2: Convert to fraction form
    6,774,966/9,657,859 = 9,657,859/x
  3. Step 3: Cross multiply
    6,774,966x = 9,657,859 × 9,657,859
  4. Step 4: Simplify right side
    6,774,966x = 93,274,240,463,881
  5. Step 5: Solve for x
    x = 93,274,240,463,881/6,774,966
  6. Step 6: Final answer
    x = 13,767,484.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.