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Finding the Third Proportional to 1,569,038,753 and 3,413,875,618.75

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Solution

The third proportional to 1,569,038,753 and 3,413,875,618.75 is: 7,427,825,933.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,038,753 : 3,413,875,618.75 = 3,413,875,618.75 : x
  2. Step 2: Convert to fraction form
    1,569,038,753/3,413,875,618.75 = 3,413,875,618.75/x
  3. Step 3: Cross multiply
    1,569,038,753x = 3,413,875,618.75 × 3,413,875,618.75
  4. Step 4: Simplify right side
    1,569,038,753x = 11,654,546,740,295,694,336
  5. Step 5: Solve for x
    x = 11,654,546,740,295,694,336/1,569,038,753
  6. Step 6: Final answer
    x = 7,427,825,933.56

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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.