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Finding the Third Proportional to 3,507,353,710 and 7,632,142,844

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Solution

The third proportional to 3,507,353,710 and 7,632,142,844 is: 16,607,850,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507,353,710 : 7,632,142,844 = 7,632,142,844 : x
  2. Step 2: Convert to fraction form
    3,507,353,710/7,632,142,844 = 7,632,142,844/x
  3. Step 3: Cross multiply
    3,507,353,710x = 7,632,142,844 × 7,632,142,844
  4. Step 4: Simplify right side
    3,507,353,710x = 58,249,604,391,220,412,416
  5. Step 5: Solve for x
    x = 58,249,604,391,220,412,416/3,507,353,710
  6. Step 6: Final answer
    x = 16,607,850,022.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.