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Finding the Third Proportional to 30,701,502 and 66,583,129.50

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Solution

The third proportional to 30,701,502 and 66,583,129.50 is: 144,400,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701,502 : 66,583,129.50 = 66,583,129.50 : x
  2. Step 2: Convert to fraction form
    30,701,502/66,583,129.50 = 66,583,129.50/x
  3. Step 3: Cross multiply
    30,701,502x = 66,583,129.50 × 66,583,129.50
  4. Step 4: Simplify right side
    30,701,502x = 4,433,313,134,013,770
  5. Step 5: Solve for x
    x = 4,433,313,134,013,770/30,701,502
  6. Step 6: Final answer
    x = 144,400,529.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.