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Finding the Third Proportional to 35,466,138 and 76,403,420

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Solution

The third proportional to 35,466,138 and 76,403,420 is: 164,593,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,466,138 : 76,403,420 = 76,403,420 : x
  2. Step 2: Convert to fraction form
    35,466,138/76,403,420 = 76,403,420/x
  3. Step 3: Cross multiply
    35,466,138x = 76,403,420 × 76,403,420
  4. Step 4: Simplify right side
    35,466,138x = 5,837,482,587,696,400
  5. Step 5: Solve for x
    x = 5,837,482,587,696,400/35,466,138
  6. Step 6: Final answer
    x = 164,593,127.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.