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Finding the Third Proportional to 1,713,918,875 and 2,413,575,450

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Solution

The third proportional to 1,713,918,875 and 2,413,575,450 is: 3,398,846,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,918,875 : 2,413,575,450 = 2,413,575,450 : x
  2. Step 2: Convert to fraction form
    1,713,918,875/2,413,575,450 = 2,413,575,450/x
  3. Step 3: Cross multiply
    1,713,918,875x = 2,413,575,450 × 2,413,575,450
  4. Step 4: Simplify right side
    1,713,918,875x = 5,825,346,452,842,702,848
  5. Step 5: Solve for x
    x = 5,825,346,452,842,702,848/1,713,918,875
  6. Step 6: Final answer
    x = 3,398,846,081.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.