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Finding the Third Proportional to 61,223,642 and 133,208,618

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Solution

The third proportional to 61,223,642 and 133,208,618 is: 289,831,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,223,642 : 133,208,618 = 133,208,618 : x
  2. Step 2: Convert to fraction form
    61,223,642/133,208,618 = 133,208,618/x
  3. Step 3: Cross multiply
    61,223,642x = 133,208,618 × 133,208,618
  4. Step 4: Simplify right side
    61,223,642x = 17,744,535,909,469,924
  5. Step 5: Solve for x
    x = 17,744,535,909,469,924/61,223,642
  6. Step 6: Final answer
    x = 289,831,433.25

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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.