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Finding the Third Proportional to 6,933,095 and 15,459,459

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Solution

The third proportional to 6,933,095 and 15,459,459 is: 34,471,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933,095 : 15,459,459 = 15,459,459 : x
  2. Step 2: Convert to fraction form
    6,933,095/15,459,459 = 15,459,459/x
  3. Step 3: Cross multiply
    6,933,095x = 15,459,459 × 15,459,459
  4. Step 4: Simplify right side
    6,933,095x = 238,994,872,572,681
  5. Step 5: Solve for x
    x = 238,994,872,572,681/6,933,095
  6. Step 6: Final answer
    x = 34,471,599.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.