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Finding the Third Proportional to 35,047,153 and 76,701,143

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Solution

The third proportional to 35,047,153 and 76,701,143 is: 167,861,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,047,153 : 76,701,143 = 76,701,143 : x
  2. Step 2: Convert to fraction form
    35,047,153/76,701,143 = 76,701,143/x
  3. Step 3: Cross multiply
    35,047,153x = 76,701,143 × 76,701,143
  4. Step 4: Simplify right side
    35,047,153x = 5,883,065,337,506,449
  5. Step 5: Solve for x
    x = 5,883,065,337,506,449/35,047,153
  6. Step 6: Final answer
    x = 167,861,433.35

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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.