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Finding the Third Proportional to 4,108,370.63 and 6,411,270.23

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Solution

The third proportional to 4,108,370.63 and 6,411,270.23 is: 10,005,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108,370.63 : 6,411,270.23 = 6,411,270.23 : x
  2. Step 2: Convert to fraction form
    4,108,370.63/6,411,270.23 = 6,411,270.23/x
  3. Step 3: Cross multiply
    4,108,370.63x = 6,411,270.23 × 6,411,270.23
  4. Step 4: Simplify right side
    4,108,370.63x = 41,104,386,018,182.87
  5. Step 5: Solve for x
    x = 41,104,386,018,182.87/4,108,370.63
  6. Step 6: Final answer
    x = 10,005,033.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.