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Finding the Third Proportional to 872,716,192 and 1,939,151,984

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Solution

The third proportional to 872,716,192 and 1,939,151,984 is: 4,308,743,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,716,192 : 1,939,151,984 = 1,939,151,984 : x
  2. Step 2: Convert to fraction form
    872,716,192/1,939,151,984 = 1,939,151,984/x
  3. Step 3: Cross multiply
    872,716,192x = 1,939,151,984 × 1,939,151,984
  4. Step 4: Simplify right side
    872,716,192x = 3,760,310,417,051,136,000
  5. Step 5: Solve for x
    x = 3,760,310,417,051,136,000/872,716,192
  6. Step 6: Final answer
    x = 4,308,743,726.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.