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Finding the Third Proportional to 35,301,618 and 76,180,068

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Solution

The third proportional to 35,301,618 and 76,180,068 is: 164,394,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,301,618 : 76,180,068 = 76,180,068 : x
  2. Step 2: Convert to fraction form
    35,301,618/76,180,068 = 76,180,068/x
  3. Step 3: Cross multiply
    35,301,618x = 76,180,068 × 76,180,068
  4. Step 4: Simplify right side
    35,301,618x = 5,803,402,760,484,624
  5. Step 5: Solve for x
    x = 5,803,402,760,484,624/35,301,618
  6. Step 6: Final answer
    x = 164,394,809.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.