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Finding the Third Proportional to 4,722,142,050 and 7,057,186,803

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Solution

The third proportional to 4,722,142,050 and 7,057,186,803 is: 10,546,884,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722,142,050 : 7,057,186,803 = 7,057,186,803 : x
  2. Step 2: Convert to fraction form
    4,722,142,050/7,057,186,803 = 7,057,186,803/x
  3. Step 3: Cross multiply
    4,722,142,050x = 7,057,186,803 × 7,057,186,803
  4. Step 4: Simplify right side
    4,722,142,050x = 49,803,885,572,437,360,640
  5. Step 5: Solve for x
    x = 49,803,885,572,437,360,640/4,722,142,050
  6. Step 6: Final answer
    x = 10,546,884,241.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.