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Finding the Third Proportional to 47,115,435 and 99,663,216

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Solution

The third proportional to 47,115,435 and 99,663,216 is: 210,817,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115,435 : 99,663,216 = 99,663,216 : x
  2. Step 2: Convert to fraction form
    47,115,435/99,663,216 = 99,663,216/x
  3. Step 3: Cross multiply
    47,115,435x = 99,663,216 × 99,663,216
  4. Step 4: Simplify right side
    47,115,435x = 9,932,756,623,462,656
  5. Step 5: Solve for x
    x = 9,932,756,623,462,656/47,115,435
  6. Step 6: Final answer
    x = 210,817,466.15

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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.