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Finding the Third Proportional to 540,650,477 and 837,538,575.50

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Solution

The third proportional to 540,650,477 and 837,538,575.50 is: 1,297,457,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,650,477 : 837,538,575.50 = 837,538,575.50 : x
  2. Step 2: Convert to fraction form
    540,650,477/837,538,575.50 = 837,538,575.50/x
  3. Step 3: Cross multiply
    540,650,477x = 837,538,575.50 × 837,538,575.50
  4. Step 4: Simplify right side
    540,650,477x = 701,470,865,450,569,216
  5. Step 5: Solve for x
    x = 701,470,865,450,569,216/540,650,477
  6. Step 6: Final answer
    x = 1,297,457,221.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.