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Finding the Third Proportional to 7,076,899.13 and 15,478,710.19

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Solution

The third proportional to 7,076,899.13 and 15,478,710.19 is: 33,855,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076,899.13 : 15,478,710.19 = 15,478,710.19 : x
  2. Step 2: Convert to fraction form
    7,076,899.13/15,478,710.19 = 15,478,710.19/x
  3. Step 3: Cross multiply
    7,076,899.13x = 15,478,710.19 × 15,478,710.19
  4. Step 4: Simplify right side
    7,076,899.13x = 239,590,469,068,616.28
  5. Step 5: Solve for x
    x = 239,590,469,068,616.28/7,076,899.13
  6. Step 6: Final answer
    x = 33,855,289.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.