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Finding the Third Proportional to 34,316,043 and 71,454,773

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Solution

The third proportional to 34,316,043 and 71,454,773 is: 148,787,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,316,043 : 71,454,773 = 71,454,773 : x
  2. Step 2: Convert to fraction form
    34,316,043/71,454,773 = 71,454,773/x
  3. Step 3: Cross multiply
    34,316,043x = 71,454,773 × 71,454,773
  4. Step 4: Simplify right side
    34,316,043x = 5,105,784,584,481,529
  5. Step 5: Solve for x
    x = 5,105,784,584,481,529/34,316,043
  6. Step 6: Final answer
    x = 148,787,101.84

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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.