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Finding the Third Proportional to 8,397,559,633.50 and 18,041,339,800.13

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Solution

The third proportional to 8,397,559,633.50 and 18,041,339,800.13 is: 38,760,063,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397,559,633.50 : 18,041,339,800.13 = 18,041,339,800.13 : x
  2. Step 2: Convert to fraction form
    8,397,559,633.50/18,041,339,800.13 = 18,041,339,800.13/x
  3. Step 3: Cross multiply
    8,397,559,633.50x = 18,041,339,800.13 × 18,041,339,800.13
  4. Step 4: Simplify right side
    8,397,559,633.50x = 325,489,941,783,574,347,776
  5. Step 5: Solve for x
    x = 325,489,941,783,574,347,776/8,397,559,633.50
  6. Step 6: Final answer
    x = 38,760,063,159.91

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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.