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Finding the Third Proportional to 4,803,038.25 and 7,429,002

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Solution

The third proportional to 4,803,038.25 and 7,429,002 is: 11,490,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803,038.25 : 7,429,002 = 7,429,002 : x
  2. Step 2: Convert to fraction form
    4,803,038.25/7,429,002 = 7,429,002/x
  3. Step 3: Cross multiply
    4,803,038.25x = 7,429,002 × 7,429,002
  4. Step 4: Simplify right side
    4,803,038.25x = 55,190,070,716,004
  5. Step 5: Solve for x
    x = 55,190,070,716,004/4,803,038.25
  6. Step 6: Final answer
    x = 11,490,658.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.