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Finding the Third Proportional to 9,065,160 and 19,477,584

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Solution

The third proportional to 9,065,160 and 19,477,584 is: 41,849,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065,160 : 19,477,584 = 19,477,584 : x
  2. Step 2: Convert to fraction form
    9,065,160/19,477,584 = 19,477,584/x
  3. Step 3: Cross multiply
    9,065,160x = 19,477,584 × 19,477,584
  4. Step 4: Simplify right side
    9,065,160x = 379,376,278,477,056
  5. Step 5: Solve for x
    x = 379,376,278,477,056/9,065,160
  6. Step 6: Final answer
    x = 41,849,926.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.