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Finding the Third Proportional to 35,866,827 and 74,285,763

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Solution

The third proportional to 35,866,827 and 74,285,763 is: 153,857,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,866,827 : 74,285,763 = 74,285,763 : x
  2. Step 2: Convert to fraction form
    35,866,827/74,285,763 = 74,285,763/x
  3. Step 3: Cross multiply
    35,866,827x = 74,285,763 × 74,285,763
  4. Step 4: Simplify right side
    35,866,827x = 5,518,374,584,492,169
  5. Step 5: Solve for x
    x = 5,518,374,584,492,169/35,866,827
  6. Step 6: Final answer
    x = 153,857,339.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.