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Finding the Third Proportional to 11,346,168 and 17,030,869.50

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Solution

The third proportional to 11,346,168 and 17,030,869.50 is: 25,563,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346,168 : 17,030,869.50 = 17,030,869.50 : x
  2. Step 2: Convert to fraction form
    11,346,168/17,030,869.50 = 17,030,869.50/x
  3. Step 3: Cross multiply
    11,346,168x = 17,030,869.50 × 17,030,869.50
  4. Step 4: Simplify right side
    11,346,168x = 290,050,515,926,030.25
  5. Step 5: Solve for x
    x = 290,050,515,926,030.25/11,346,168
  6. Step 6: Final answer
    x = 25,563,742.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.