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Finding the Third Proportional to 6,281,762,660 and 9,301,355,832

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Solution

The third proportional to 6,281,762,660 and 9,301,355,832 is: 13,772,443,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281,762,660 : 9,301,355,832 = 9,301,355,832 : x
  2. Step 2: Convert to fraction form
    6,281,762,660/9,301,355,832 = 9,301,355,832/x
  3. Step 3: Cross multiply
    6,281,762,660x = 9,301,355,832 × 9,301,355,832
  4. Step 4: Simplify right side
    6,281,762,660x = 86,515,220,313,480,413,184
  5. Step 5: Solve for x
    x = 86,515,220,313,480,413,184/6,281,762,660
  6. Step 6: Final answer
    x = 13,772,443,340.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.