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Finding the Third Proportional to 6,774,636 and 9,657,486

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Solution

The third proportional to 6,774,636 and 9,657,486 is: 13,767,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,636 : 9,657,486 = 9,657,486 : x
  2. Step 2: Convert to fraction form
    6,774,636/9,657,486 = 9,657,486/x
  3. Step 3: Cross multiply
    6,774,636x = 9,657,486 × 9,657,486
  4. Step 4: Simplify right side
    6,774,636x = 93,267,035,840,196
  5. Step 5: Solve for x
    x = 93,267,035,840,196/6,774,636
  6. Step 6: Final answer
    x = 13,767,091.82

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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.