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Finding the Third Proportional to 1,666,144,807 and 3,470,195,440

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Solution

The third proportional to 1,666,144,807 and 3,470,195,440 is: 7,227,616,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,144,807 : 3,470,195,440 = 3,470,195,440 : x
  2. Step 2: Convert to fraction form
    1,666,144,807/3,470,195,440 = 3,470,195,440/x
  3. Step 3: Cross multiply
    1,666,144,807x = 3,470,195,440 × 3,470,195,440
  4. Step 4: Simplify right side
    1,666,144,807x = 12,042,256,391,796,793,344
  5. Step 5: Solve for x
    x = 12,042,256,391,796,793,344/1,666,144,807
  6. Step 6: Final answer
    x = 7,227,616,916.13

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