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Finding the Third Proportional to 35,763,834 and 77,244,342

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Solution

The third proportional to 35,763,834 and 77,244,342 is: 166,835,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,763,834 : 77,244,342 = 77,244,342 : x
  2. Step 2: Convert to fraction form
    35,763,834/77,244,342 = 77,244,342/x
  3. Step 3: Cross multiply
    35,763,834x = 77,244,342 × 77,244,342
  4. Step 4: Simplify right side
    35,763,834x = 5,966,688,371,012,964
  5. Step 5: Solve for x
    x = 5,966,688,371,012,964/35,763,834
  6. Step 6: Final answer
    x = 166,835,814.39

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