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Finding the Third Proportional to 37,701,103,968 and 56,224,716,401.25

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Solution

The third proportional to 37,701,103,968 and 56,224,716,401.25 is: 83,849,500,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,701,103,968 : 56,224,716,401.25 = 56,224,716,401.25 : x
  2. Step 2: Convert to fraction form
    37,701,103,968/56,224,716,401.25 = 56,224,716,401.25/x
  3. Step 3: Cross multiply
    37,701,103,968x = 56,224,716,401.25 × 56,224,716,401.25
  4. Step 4: Simplify right side
    37,701,103,968x = 3,161,218,734,400,990,609,408
  5. Step 5: Solve for x
    x = 3,161,218,734,400,990,609,408/37,701,103,968
  6. Step 6: Final answer
    x = 83,849,500,457.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.