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Finding the Third Proportional to 6,774,964 and 9,657,856

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Solution

The third proportional to 6,774,964 and 9,657,856 is: 13,767,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,964 : 9,657,856 = 9,657,856 : x
  2. Step 2: Convert to fraction form
    6,774,964/9,657,856 = 9,657,856/x
  3. Step 3: Cross multiply
    6,774,964x = 9,657,856 × 9,657,856
  4. Step 4: Simplify right side
    6,774,964x = 93,274,182,516,736
  5. Step 5: Solve for x
    x = 93,274,182,516,736/6,774,964
  6. Step 6: Final answer
    x = 13,767,480.17

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