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Finding the Third Proportional to 1,666,144,986 and 3,470,195,778

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Solution

The third proportional to 1,666,144,986 and 3,470,195,778 is: 7,227,617,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,144,986 : 3,470,195,778 = 3,470,195,778 : x
  2. Step 2: Convert to fraction form
    1,666,144,986/3,470,195,778 = 3,470,195,778/x
  3. Step 3: Cross multiply
    1,666,144,986x = 3,470,195,778 × 3,470,195,778
  4. Step 4: Simplify right side
    1,666,144,986x = 12,042,258,737,649,025,024
  5. Step 5: Solve for x
    x = 12,042,258,737,649,025,024/1,666,144,986
  6. Step 6: Final answer
    x = 7,227,617,547.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.