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Finding the Third Proportional to 397,684,433,937.08 and 872,362,622,778.20

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Solution

The third proportional to 397,684,433,937.08 and 872,362,622,778.20 is: 1,913,619,142,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,684,433,937.08 : 872,362,622,778.20 = 872,362,622,778.20 : x
  2. Step 2: Convert to fraction form
    397,684,433,937.08/872,362,622,778.20 = 872,362,622,778.20/x
  3. Step 3: Cross multiply
    397,684,433,937.08x = 872,362,622,778.20 × 872,362,622,778.20
  4. Step 4: Simplify right side
    397,684,433,937.08x = 761,016,545,620,459,926,847,488
  5. Step 5: Solve for x
    x = 761,016,545,620,459,926,847,488/397,684,433,937.08
  6. Step 6: Final answer
    x = 1,913,619,142,912.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.