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Finding the Third Proportional to 508,964,905,299 and 759,033,673,737

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Solution

The third proportional to 508,964,905,299 and 759,033,673,737 is: 1,131,968,259,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,964,905,299 : 759,033,673,737 = 759,033,673,737 : x
  2. Step 2: Convert to fraction form
    508,964,905,299/759,033,673,737 = 759,033,673,737/x
  3. Step 3: Cross multiply
    508,964,905,299x = 759,033,673,737 × 759,033,673,737
  4. Step 4: Simplify right side
    508,964,905,299x = 576,132,117,866,686,579,736,576
  5. Step 5: Solve for x
    x = 576,132,117,866,686,579,736,576/508,964,905,299
  6. Step 6: Final answer
    x = 1,131,968,259,242.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.