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Finding the Third Proportional to 62,147,820 and 86,411,599.50

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Solution

The third proportional to 62,147,820 and 86,411,599.50 is: 120,148,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,147,820 : 86,411,599.50 = 86,411,599.50 : x
  2. Step 2: Convert to fraction form
    62,147,820/86,411,599.50 = 86,411,599.50/x
  3. Step 3: Cross multiply
    62,147,820x = 86,411,599.50 × 86,411,599.50
  4. Step 4: Simplify right side
    62,147,820x = 7,466,964,528,148,400
  5. Step 5: Solve for x
    x = 7,466,964,528,148,400/62,147,820
  6. Step 6: Final answer
    x = 120,148,454.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.