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Finding the Third Proportional to 1,666,144,820.02 and 3,470,195,466.94

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Solution

The third proportional to 1,666,144,820.02 and 3,470,195,466.94 is: 7,227,616,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,144,820.02 : 3,470,195,466.94 = 3,470,195,466.94 : x
  2. Step 2: Convert to fraction form
    1,666,144,820.02/3,470,195,466.94 = 3,470,195,466.94/x
  3. Step 3: Cross multiply
    1,666,144,820.02x = 3,470,195,466.94 × 3,470,195,466.94
  4. Step 4: Simplify right side
    1,666,144,820.02x = 12,042,256,578,753,572,864
  5. Step 5: Solve for x
    x = 12,042,256,578,753,572,864/1,666,144,820.02
  6. Step 6: Final answer
    x = 7,227,616,971.88

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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.