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Finding the Third Proportional to 1,975,386,457.13 and 2,690,597,250

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Solution

The third proportional to 1,975,386,457.13 and 2,690,597,250 is: 3,664,758,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,386,457.13 : 2,690,597,250 = 2,690,597,250 : x
  2. Step 2: Convert to fraction form
    1,975,386,457.13/2,690,597,250 = 2,690,597,250/x
  3. Step 3: Cross multiply
    1,975,386,457.13x = 2,690,597,250 × 2,690,597,250
  4. Step 4: Simplify right side
    1,975,386,457.13x = 7,239,313,561,707,563,008
  5. Step 5: Solve for x
    x = 7,239,313,561,707,563,008/1,975,386,457.13
  6. Step 6: Final answer
    x = 3,664,758,121.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.