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Finding the Third Proportional to 299,294,078,166 and 651,275,983,980

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Solution

The third proportional to 299,294,078,166 and 651,275,983,980 is: 1,417,202,805,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,294,078,166 : 651,275,983,980 = 651,275,983,980 : x
  2. Step 2: Convert to fraction form
    299,294,078,166/651,275,983,980 = 651,275,983,980/x
  3. Step 3: Cross multiply
    299,294,078,166x = 651,275,983,980 × 651,275,983,980
  4. Step 4: Simplify right side
    299,294,078,166x = 424,160,407,309,117,200,269,312
  5. Step 5: Solve for x
    x = 424,160,407,309,117,200,269,312/299,294,078,166
  6. Step 6: Final answer
    x = 1,417,202,805,709.58

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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.