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Finding the Third Proportional to 1,693,178,896 and 3,645,833,840

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Solution

The third proportional to 1,693,178,896 and 3,645,833,840 is: 7,850,383,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,178,896 : 3,645,833,840 = 3,645,833,840 : x
  2. Step 2: Convert to fraction form
    1,693,178,896/3,645,833,840 = 3,645,833,840/x
  3. Step 3: Cross multiply
    1,693,178,896x = 3,645,833,840 × 3,645,833,840
  4. Step 4: Simplify right side
    1,693,178,896x = 13,292,104,388,889,145,344
  5. Step 5: Solve for x
    x = 13,292,104,388,889,145,344/1,693,178,896
  6. Step 6: Final answer
    x = 7,850,383,925.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.