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Finding the Third Proportional to 968,239,424 and 2,097,795,712

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Solution

The third proportional to 968,239,424 and 2,097,795,712 is: 4,545,101,903.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,239,424 : 2,097,795,712 = 2,097,795,712 : x
  2. Step 2: Convert to fraction form
    968,239,424/2,097,795,712 = 2,097,795,712/x
  3. Step 3: Cross multiply
    968,239,424x = 2,097,795,712 × 2,097,795,712
  4. Step 4: Simplify right side
    968,239,424x = 4,400,746,849,285,586,944
  5. Step 5: Solve for x
    x = 4,400,746,849,285,586,944/968,239,424
  6. Step 6: Final answer
    x = 4,545,101,903.73

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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.