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Finding the Third Proportional to 76,566,512 and 117,688,032

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Solution

The third proportional to 76,566,512 and 117,688,032 is: 180,894,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,512 : 117,688,032 = 117,688,032 : x
  2. Step 2: Convert to fraction form
    76,566,512/117,688,032 = 117,688,032/x
  3. Step 3: Cross multiply
    76,566,512x = 117,688,032 × 117,688,032
  4. Step 4: Simplify right side
    76,566,512x = 13,850,472,876,033,024
  5. Step 5: Solve for x
    x = 13,850,472,876,033,024/76,566,512
  6. Step 6: Final answer
    x = 180,894,656.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.