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Finding the Third Proportional to 29,628,038 and 71,369,537

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Solution

The third proportional to 29,628,038 and 71,369,537 is: 171,918,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,628,038 : 71,369,537 = 71,369,537 : x
  2. Step 2: Convert to fraction form
    29,628,038/71,369,537 = 71,369,537/x
  3. Step 3: Cross multiply
    29,628,038x = 71,369,537 × 71,369,537
  4. Step 4: Simplify right side
    29,628,038x = 5,093,610,811,594,369
  5. Step 5: Solve for x
    x = 5,093,610,811,594,369/29,628,038
  6. Step 6: Final answer
    x = 171,918,599.93

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.