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Finding the Third Proportional to 7,255,090.50 and 17,102,509.88

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Solution

The third proportional to 7,255,090.50 and 17,102,509.88 is: 40,315,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255,090.50 : 17,102,509.88 = 17,102,509.88 : x
  2. Step 2: Convert to fraction form
    7,255,090.50/17,102,509.88 = 17,102,509.88/x
  3. Step 3: Cross multiply
    7,255,090.50x = 17,102,509.88 × 17,102,509.88
  4. Step 4: Simplify right side
    7,255,090.50x = 292,495,844,024,472.50
  5. Step 5: Solve for x
    x = 292,495,844,024,472.50/7,255,090.50
  6. Step 6: Final answer
    x = 40,315,946.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.