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Finding the Third Proportional to 16,207,654 and 35,377,216

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Solution

The third proportional to 16,207,654 and 35,377,216 is: 77,219,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207,654 : 35,377,216 = 35,377,216 : x
  2. Step 2: Convert to fraction form
    16,207,654/35,377,216 = 35,377,216/x
  3. Step 3: Cross multiply
    16,207,654x = 35,377,216 × 35,377,216
  4. Step 4: Simplify right side
    16,207,654x = 1,251,547,411,910,656
  5. Step 5: Solve for x
    x = 1,251,547,411,910,656/16,207,654
  6. Step 6: Final answer
    x = 77,219,529.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.