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Finding the Third Proportional to 40,826,700,919 and 64,044,988,957.50

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Solution

The third proportional to 40,826,700,919 and 64,044,988,957.50 is: 100,467,598,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,826,700,919 : 64,044,988,957.50 = 64,044,988,957.50 : x
  2. Step 2: Convert to fraction form
    40,826,700,919/64,044,988,957.50 = 64,044,988,957.50/x
  3. Step 3: Cross multiply
    40,826,700,919x = 64,044,988,957.50 × 64,044,988,957.50
  4. Step 4: Simplify right side
    40,826,700,919x = 4,101,760,610,566,297,092,096
  5. Step 5: Solve for x
    x = 4,101,760,610,566,297,092,096/40,826,700,919
  6. Step 6: Final answer
    x = 100,467,598,856.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.