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Finding the Third Proportional to 3,332,762.50 and 4,977,343.50

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Solution

The third proportional to 3,332,762.50 and 4,977,343.50 is: 7,433,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332,762.50 : 4,977,343.50 = 4,977,343.50 : x
  2. Step 2: Convert to fraction form
    3,332,762.50/4,977,343.50 = 4,977,343.50/x
  3. Step 3: Cross multiply
    3,332,762.50x = 4,977,343.50 × 4,977,343.50
  4. Step 4: Simplify right side
    3,332,762.50x = 24,773,948,316,992.25
  5. Step 5: Solve for x
    x = 24,773,948,316,992.25/3,332,762.50
  6. Step 6: Final answer
    x = 7,433,457.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.