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Finding the Third Proportional to 6,953,285.53 and 10,228,898.95

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Solution

The third proportional to 6,953,285.53 and 10,228,898.95 is: 15,047,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953,285.53 : 10,228,898.95 = 10,228,898.95 : x
  2. Step 2: Convert to fraction form
    6,953,285.53/10,228,898.95 = 10,228,898.95/x
  3. Step 3: Cross multiply
    6,953,285.53x = 10,228,898.95 × 10,228,898.95
  4. Step 4: Simplify right side
    6,953,285.53x = 104,630,373,793,241.72
  5. Step 5: Solve for x
    x = 104,630,373,793,241.72/6,953,285.53
  6. Step 6: Final answer
    x = 15,047,616.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.