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Finding the Third Proportional to 1,673,517,786 and 3,648,362,943

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Solution

The third proportional to 1,673,517,786 and 3,648,362,943 is: 7,953,636,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673,517,786 : 3,648,362,943 = 3,648,362,943 : x
  2. Step 2: Convert to fraction form
    1,673,517,786/3,648,362,943 = 3,648,362,943/x
  3. Step 3: Cross multiply
    1,673,517,786x = 3,648,362,943 × 3,648,362,943
  4. Step 4: Simplify right side
    1,673,517,786x = 13,310,552,163,855,622,144
  5. Step 5: Solve for x
    x = 13,310,552,163,855,622,144/1,673,517,786
  6. Step 6: Final answer
    x = 7,953,636,510.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.