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Finding the Third Proportional to 35,822,969 and 77,727,984.50

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Solution

The third proportional to 35,822,969 and 77,727,984.50 is: 168,652,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822,969 : 77,727,984.50 = 77,727,984.50 : x
  2. Step 2: Convert to fraction form
    35,822,969/77,727,984.50 = 77,727,984.50/x
  3. Step 3: Cross multiply
    35,822,969x = 77,727,984.50 × 77,727,984.50
  4. Step 4: Simplify right side
    35,822,969x = 6,041,639,574,432,240
  5. Step 5: Solve for x
    x = 6,041,639,574,432,240/35,822,969
  6. Step 6: Final answer
    x = 168,652,675.73

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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.