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Finding the Third Proportional to 35,544,422,825 and 74,030,836,624

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Solution

The third proportional to 35,544,422,825 and 74,030,836,624 is: 154,189,162,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,544,422,825 : 74,030,836,624 = 74,030,836,624 : x
  2. Step 2: Convert to fraction form
    35,544,422,825/74,030,836,624 = 74,030,836,624/x
  3. Step 3: Cross multiply
    35,544,422,825x = 74,030,836,624 × 74,030,836,624
  4. Step 4: Simplify right side
    35,544,422,825x = 5,480,564,771,249,379,606,528
  5. Step 5: Solve for x
    x = 5,480,564,771,249,379,606,528/35,544,422,825
  6. Step 6: Final answer
    x = 154,189,162,058.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.