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Finding the Third Proportional to 4,457,113.50 and 6,696,316.50

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Solution

The third proportional to 4,457,113.50 and 6,696,316.50 is: 10,060,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457,113.50 : 6,696,316.50 = 6,696,316.50 : x
  2. Step 2: Convert to fraction form
    4,457,113.50/6,696,316.50 = 6,696,316.50/x
  3. Step 3: Cross multiply
    4,457,113.50x = 6,696,316.50 × 6,696,316.50
  4. Step 4: Simplify right side
    4,457,113.50x = 44,840,654,668,172.25
  5. Step 5: Solve for x
    x = 44,840,654,668,172.25/4,457,113.50
  6. Step 6: Final answer
    x = 10,060,469.55

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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.