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Finding the Third Proportional to 35,584,356 and 77,693,628

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Solution

The third proportional to 35,584,356 and 77,693,628 is: 169,633,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584,356 : 77,693,628 = 77,693,628 : x
  2. Step 2: Convert to fraction form
    35,584,356/77,693,628 = 77,693,628/x
  3. Step 3: Cross multiply
    35,584,356x = 77,693,628 × 77,693,628
  4. Step 4: Simplify right side
    35,584,356x = 6,036,299,831,802,384
  5. Step 5: Solve for x
    x = 6,036,299,831,802,384/35,584,356
  6. Step 6: Final answer
    x = 169,633,527.49

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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.