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Finding the Third Proportional to 4,827,020 and 7,157,039.50

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Solution

The third proportional to 4,827,020 and 7,157,039.50 is: 10,611,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827,020 : 7,157,039.50 = 7,157,039.50 : x
  2. Step 2: Convert to fraction form
    4,827,020/7,157,039.50 = 7,157,039.50/x
  3. Step 3: Cross multiply
    4,827,020x = 7,157,039.50 × 7,157,039.50
  4. Step 4: Simplify right side
    4,827,020x = 51,223,214,404,560.25
  5. Step 5: Solve for x
    x = 51,223,214,404,560.25/4,827,020
  6. Step 6: Final answer
    x = 10,611,767.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.