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Finding the Third Proportional to 299,294,078,175 and 651,275,983,998

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Solution

The third proportional to 299,294,078,175 and 651,275,983,998 is: 1,417,202,805,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,294,078,175 : 651,275,983,998 = 651,275,983,998 : x
  2. Step 2: Convert to fraction form
    299,294,078,175/651,275,983,998 = 651,275,983,998/x
  3. Step 3: Cross multiply
    299,294,078,175x = 651,275,983,998 × 651,275,983,998
  4. Step 4: Simplify right side
    299,294,078,175x = 424,160,407,332,563,158,302,720
  5. Step 5: Solve for x
    x = 424,160,407,332,563,158,302,720/299,294,078,175
  6. Step 6: Final answer
    x = 1,417,202,805,745.30

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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.