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Finding the Third Proportional to 1,666,144,816 and 3,470,195,461

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Solution

The third proportional to 1,666,144,816 and 3,470,195,461 is: 7,227,616,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,144,816 : 3,470,195,461 = 3,470,195,461 : x
  2. Step 2: Convert to fraction form
    1,666,144,816/3,470,195,461 = 3,470,195,461/x
  3. Step 3: Cross multiply
    1,666,144,816x = 3,470,195,461 × 3,470,195,461
  4. Step 4: Simplify right side
    1,666,144,816x = 12,042,256,537,545,003,008
  5. Step 5: Solve for x
    x = 12,042,256,537,545,003,008/1,666,144,816
  6. Step 6: Final answer
    x = 7,227,616,964.57

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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.