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Finding the Third Proportional to 35,456,314.50 and 77,638,677.75

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Solution

The third proportional to 35,456,314.50 and 77,638,677.75 is: 170,005,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,456,314.50 : 77,638,677.75 = 77,638,677.75 : x
  2. Step 2: Convert to fraction form
    35,456,314.50/77,638,677.75 = 77,638,677.75/x
  3. Step 3: Cross multiply
    35,456,314.50x = 77,638,677.75 × 77,638,677.75
  4. Step 4: Simplify right side
    35,456,314.50x = 6,027,764,282,768,345
  5. Step 5: Solve for x
    x = 6,027,764,282,768,345/35,456,314.50
  6. Step 6: Final answer
    x = 170,005,381.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.