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Finding the Third Proportional to 37,547,991 and 77,973,669

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Solution

The third proportional to 37,547,991 and 77,973,669 is: 161,923,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,547,991 : 77,973,669 = 77,973,669 : x
  2. Step 2: Convert to fraction form
    37,547,991/77,973,669 = 77,973,669/x
  3. Step 3: Cross multiply
    37,547,991x = 77,973,669 × 77,973,669
  4. Step 4: Simplify right side
    37,547,991x = 6,079,893,057,321,561
  5. Step 5: Solve for x
    x = 6,079,893,057,321,561/37,547,991
  6. Step 6: Final answer
    x = 161,923,258.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.