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Finding the Third Proportional to 1,535,351,648 and 3,343,312,576

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Solution

The third proportional to 1,535,351,648 and 3,343,312,576 is: 7,280,246,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,351,648 : 3,343,312,576 = 3,343,312,576 : x
  2. Step 2: Convert to fraction form
    1,535,351,648/3,343,312,576 = 3,343,312,576/x
  3. Step 3: Cross multiply
    1,535,351,648x = 3,343,312,576 × 3,343,312,576
  4. Step 4: Simplify right side
    1,535,351,648x = 11,177,738,980,839,755,776
  5. Step 5: Solve for x
    x = 11,177,738,980,839,755,776/1,535,351,648
  6. Step 6: Final answer
    x = 7,280,246,838.18

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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.