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Finding the Third Proportional to 7,076,431 and 15,477,773

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Solution

The third proportional to 7,076,431 and 15,477,773 is: 33,853,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076,431 : 15,477,773 = 15,477,773 : x
  2. Step 2: Convert to fraction form
    7,076,431/15,477,773 = 15,477,773/x
  3. Step 3: Cross multiply
    7,076,431x = 15,477,773 × 15,477,773
  4. Step 4: Simplify right side
    7,076,431x = 239,561,457,039,529
  5. Step 5: Solve for x
    x = 239,561,457,039,529/7,076,431
  6. Step 6: Final answer
    x = 33,853,429.37

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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.