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Finding the Third Proportional to 5,829,168 and 9,143,101.50

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Solution

The third proportional to 5,829,168 and 9,143,101.50 is: 14,341,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829,168 : 9,143,101.50 = 9,143,101.50 : x
  2. Step 2: Convert to fraction form
    5,829,168/9,143,101.50 = 9,143,101.50/x
  3. Step 3: Cross multiply
    5,829,168x = 9,143,101.50 × 9,143,101.50
  4. Step 4: Simplify right side
    5,829,168x = 83,596,305,039,302.25
  5. Step 5: Solve for x
    x = 83,596,305,039,302.25/5,829,168
  6. Step 6: Final answer
    x = 14,341,035.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.