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Finding the Third Proportional to 32,606,768 and 69,097,696

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Solution

The third proportional to 32,606,768 and 69,097,696 is: 146,426,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606,768 : 69,097,696 = 69,097,696 : x
  2. Step 2: Convert to fraction form
    32,606,768/69,097,696 = 69,097,696/x
  3. Step 3: Cross multiply
    32,606,768x = 69,097,696 × 69,097,696
  4. Step 4: Simplify right side
    32,606,768x = 4,774,491,592,508,416
  5. Step 5: Solve for x
    x = 4,774,491,592,508,416/32,606,768
  6. Step 6: Final answer
    x = 146,426,398.12

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.