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Finding the Third Proportional to 47,164,020 and 74,997,618

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Solution

The third proportional to 47,164,020 and 74,997,618 is: 119,257,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,164,020 : 74,997,618 = 74,997,618 : x
  2. Step 2: Convert to fraction form
    47,164,020/74,997,618 = 74,997,618/x
  3. Step 3: Cross multiply
    47,164,020x = 74,997,618 × 74,997,618
  4. Step 4: Simplify right side
    47,164,020x = 5,624,642,705,673,924
  5. Step 5: Solve for x
    x = 5,624,642,705,673,924/47,164,020
  6. Step 6: Final answer
    x = 119,257,067.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.