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Finding the Third Proportional to 6,076,764 and 9,406,272

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Solution

The third proportional to 6,076,764 and 9,406,272 is: 14,560,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076,764 : 9,406,272 = 9,406,272 : x
  2. Step 2: Convert to fraction form
    6,076,764/9,406,272 = 9,406,272/x
  3. Step 3: Cross multiply
    6,076,764x = 9,406,272 × 9,406,272
  4. Step 4: Simplify right side
    6,076,764x = 88,477,952,937,984
  5. Step 5: Solve for x
    x = 88,477,952,937,984/6,076,764
  6. Step 6: Final answer
    x = 14,560,044.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.