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Finding the Third Proportional to 2,041,035,581,015 and 4,373,197,015,988

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Solution

The third proportional to 2,041,035,581,015 and 4,373,197,015,988 is: 9,370,170,867,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,035,581,015 : 4,373,197,015,988 = 4,373,197,015,988 : x
  2. Step 2: Convert to fraction form
    2,041,035,581,015/4,373,197,015,988 = 4,373,197,015,988/x
  3. Step 3: Cross multiply
    2,041,035,581,015x = 4,373,197,015,988 × 4,373,197,015,988
  4. Step 4: Simplify right side
    2,041,035,581,015x = 19,124,852,140,646,347,516,674,048
  5. Step 5: Solve for x
    x = 19,124,852,140,646,347,516,674,048/2,041,035,581,015
  6. Step 6: Final answer
    x = 9,370,170,867,445.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.