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Finding the Third Proportional to 1,663,622,678 and 3,604,655,416

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Solution

The third proportional to 1,663,622,678 and 3,604,655,416 is: 7,810,389,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,622,678 : 3,604,655,416 = 3,604,655,416 : x
  2. Step 2: Convert to fraction form
    1,663,622,678/3,604,655,416 = 3,604,655,416/x
  3. Step 3: Cross multiply
    1,663,622,678x = 3,604,655,416 × 3,604,655,416
  4. Step 4: Simplify right side
    1,663,622,678x = 12,993,540,668,098,134,016
  5. Step 5: Solve for x
    x = 12,993,540,668,098,134,016/1,663,622,678
  6. Step 6: Final answer
    x = 7,810,389,242.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.