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Finding the Third Proportional to 673,412,301 and 1,447,076,682

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Solution

The third proportional to 673,412,301 and 1,447,076,682 is: 3,109,582,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,412,301 : 1,447,076,682 = 1,447,076,682 : x
  2. Step 2: Convert to fraction form
    673,412,301/1,447,076,682 = 1,447,076,682/x
  3. Step 3: Cross multiply
    673,412,301x = 1,447,076,682 × 1,447,076,682
  4. Step 4: Simplify right side
    673,412,301x = 2,094,030,923,588,129,024
  5. Step 5: Solve for x
    x = 2,094,030,923,588,129,024/673,412,301
  6. Step 6: Final answer
    x = 3,109,582,228.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.