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Finding the Third Proportional to 593,076,051 and 1,235,240,631

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Solution

The third proportional to 593,076,051 and 1,235,240,631 is: 2,572,721,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,076,051 : 1,235,240,631 = 1,235,240,631 : x
  2. Step 2: Convert to fraction form
    593,076,051/1,235,240,631 = 1,235,240,631/x
  3. Step 3: Cross multiply
    593,076,051x = 1,235,240,631 × 1,235,240,631
  4. Step 4: Simplify right side
    593,076,051x = 1,525,819,416,473,278,208
  5. Step 5: Solve for x
    x = 1,525,819,416,473,278,208/593,076,051
  6. Step 6: Final answer
    x = 2,572,721,346.45

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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.