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Finding the Third Proportional to 2,041,035,581,018 and 4,373,197,015,994

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Solution

The third proportional to 2,041,035,581,018 and 4,373,197,015,994 is: 9,370,170,867,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,035,581,018 : 4,373,197,015,994 = 4,373,197,015,994 : x
  2. Step 2: Convert to fraction form
    2,041,035,581,018/4,373,197,015,994 = 4,373,197,015,994/x
  3. Step 3: Cross multiply
    2,041,035,581,018x = 4,373,197,015,994 × 4,373,197,015,994
  4. Step 4: Simplify right side
    2,041,035,581,018x = 19,124,852,140,698,825,574,580,224
  5. Step 5: Solve for x
    x = 19,124,852,140,698,825,574,580,224/2,041,035,581,018
  6. Step 6: Final answer
    x = 9,370,170,867,457.39

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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.