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Finding the Third Proportional to 299,294,078,173 and 651,275,983,994

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Solution

The third proportional to 299,294,078,173 and 651,275,983,994 is: 1,417,202,805,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,294,078,173 : 651,275,983,994 = 651,275,983,994 : x
  2. Step 2: Convert to fraction form
    299,294,078,173/651,275,983,994 = 651,275,983,994/x
  3. Step 3: Cross multiply
    299,294,078,173x = 651,275,983,994 × 651,275,983,994
  4. Step 4: Simplify right side
    299,294,078,173x = 424,160,407,327,352,960,319,488
  5. Step 5: Solve for x
    x = 424,160,407,327,352,960,319,488/299,294,078,173
  6. Step 6: Final answer
    x = 1,417,202,805,737.36

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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.