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Finding the Third Proportional to 2,276,135.86 and 4,762,702.13

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Solution

The third proportional to 2,276,135.86 and 4,762,702.13 is: 9,965,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276,135.86 : 4,762,702.13 = 4,762,702.13 : x
  2. Step 2: Convert to fraction form
    2,276,135.86/4,762,702.13 = 4,762,702.13/x
  3. Step 3: Cross multiply
    2,276,135.86x = 4,762,702.13 × 4,762,702.13
  4. Step 4: Simplify right side
    2,276,135.86x = 22,683,331,531,479.52
  5. Step 5: Solve for x
    x = 22,683,331,531,479.52/2,276,135.86
  6. Step 6: Final answer
    x = 9,965,719.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.