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Finding the Third Proportional to 35,452,508.63 and 77,116,644

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Solution

The third proportional to 35,452,508.63 and 77,116,644 is: 167,744,879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452,508.63 : 77,116,644 = 77,116,644 : x
  2. Step 2: Convert to fraction form
    35,452,508.63/77,116,644 = 77,116,644/x
  3. Step 3: Cross multiply
    35,452,508.63x = 77,116,644 × 77,116,644
  4. Step 4: Simplify right side
    35,452,508.63x = 5,946,976,781,822,736
  5. Step 5: Solve for x
    x = 5,946,976,781,822,736/35,452,508.63
  6. Step 6: Final answer
    x = 167,744,879.35

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Why These Related Problems?

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