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Finding the Third Proportional to 70,607,583 and 164,880,733.50

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Solution

The third proportional to 70,607,583 and 164,880,733.50 is: 385,024,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,607,583 : 164,880,733.50 = 164,880,733.50 : x
  2. Step 2: Convert to fraction form
    70,607,583/164,880,733.50 = 164,880,733.50/x
  3. Step 3: Cross multiply
    70,607,583x = 164,880,733.50 × 164,880,733.50
  4. Step 4: Simplify right side
    70,607,583x = 27,185,656,279,498,024
  5. Step 5: Solve for x
    x = 27,185,656,279,498,024/70,607,583
  6. Step 6: Final answer
    x = 385,024,598.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.