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Finding the Third Proportional to 3,527,413 and 5,155,013

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Solution

The third proportional to 3,527,413 and 5,155,013 is: 7,533,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527,413 : 5,155,013 = 5,155,013 : x
  2. Step 2: Convert to fraction form
    3,527,413/5,155,013 = 5,155,013/x
  3. Step 3: Cross multiply
    3,527,413x = 5,155,013 × 5,155,013
  4. Step 4: Simplify right side
    3,527,413x = 26,574,159,030,169
  5. Step 5: Solve for x
    x = 26,574,159,030,169/3,527,413
  6. Step 6: Final answer
    x = 7,533,611.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.