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Finding the Third Proportional to 77,730,678 and 116,167,617

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Solution

The third proportional to 77,730,678 and 116,167,617 is: 173,611,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,730,678 : 116,167,617 = 116,167,617 : x
  2. Step 2: Convert to fraction form
    77,730,678/116,167,617 = 116,167,617/x
  3. Step 3: Cross multiply
    77,730,678x = 116,167,617 × 116,167,617
  4. Step 4: Simplify right side
    77,730,678x = 13,494,915,239,458,688
  5. Step 5: Solve for x
    x = 13,494,915,239,458,688/77,730,678
  6. Step 6: Final answer
    x = 173,611,186.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.