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Finding the Third Proportional to 40,353,219 and 64,240,897.50

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Solution

The third proportional to 40,353,219 and 64,240,897.50 is: 102,269,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,353,219 : 64,240,897.50 = 64,240,897.50 : x
  2. Step 2: Convert to fraction form
    40,353,219/64,240,897.50 = 64,240,897.50/x
  3. Step 3: Cross multiply
    40,353,219x = 64,240,897.50 × 64,240,897.50
  4. Step 4: Simplify right side
    40,353,219x = 4,126,892,911,605,506
  5. Step 5: Solve for x
    x = 4,126,892,911,605,506/40,353,219
  6. Step 6: Final answer
    x = 102,269,236.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.