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Finding the Third Proportional to 9,748,310 and 13,628,043

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Solution

The third proportional to 9,748,310 and 13,628,043 is: 19,051,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,310 : 13,628,043 = 13,628,043 : x
  2. Step 2: Convert to fraction form
    9,748,310/13,628,043 = 13,628,043/x
  3. Step 3: Cross multiply
    9,748,310x = 13,628,043 × 13,628,043
  4. Step 4: Simplify right side
    9,748,310x = 185,723,556,009,849
  5. Step 5: Solve for x
    x = 185,723,556,009,849/9,748,310
  6. Step 6: Final answer
    x = 19,051,872.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.