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Finding the Third Proportional to 1,713,207,145 and 2,311,518,670

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Solution

The third proportional to 1,713,207,145 and 2,311,518,670 is: 3,118,781,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,207,145 : 2,311,518,670 = 2,311,518,670 : x
  2. Step 2: Convert to fraction form
    1,713,207,145/2,311,518,670 = 2,311,518,670/x
  3. Step 3: Cross multiply
    1,713,207,145x = 2,311,518,670 × 2,311,518,670
  4. Step 4: Simplify right side
    1,713,207,145x = 5,343,118,561,758,568,448
  5. Step 5: Solve for x
    x = 5,343,118,561,758,568,448/1,713,207,145
  6. Step 6: Final answer
    x = 3,118,781,390.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.