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Finding the Third Proportional to 22,001,688,202 and 47,658,503,624

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Solution

The third proportional to 22,001,688,202 and 47,658,503,624 is: 103,234,485,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001,688,202 : 47,658,503,624 = 47,658,503,624 : x
  2. Step 2: Convert to fraction form
    22,001,688,202/47,658,503,624 = 47,658,503,624/x
  3. Step 3: Cross multiply
    22,001,688,202x = 47,658,503,624 × 47,658,503,624
  4. Step 4: Simplify right side
    22,001,688,202x = 2,271,332,967,678,821,007,360
  5. Step 5: Solve for x
    x = 2,271,332,967,678,821,007,360/22,001,688,202
  6. Step 6: Final answer
    x = 103,234,485,773.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.