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Finding the Third Proportional to 593,076,008 and 1,235,240,563

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Solution

The third proportional to 593,076,008 and 1,235,240,563 is: 2,572,721,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,076,008 : 1,235,240,563 = 1,235,240,563 : x
  2. Step 2: Convert to fraction form
    593,076,008/1,235,240,563 = 1,235,240,563/x
  3. Step 3: Cross multiply
    593,076,008x = 1,235,240,563 × 1,235,240,563
  4. Step 4: Simplify right side
    593,076,008x = 1,525,819,248,480,557,056
  5. Step 5: Solve for x
    x = 1,525,819,248,480,557,056/593,076,008
  6. Step 6: Final answer
    x = 2,572,721,249.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.