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Finding the Third Proportional to 527,178,690 and 1,097,991,637.50

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Solution

The third proportional to 527,178,690 and 1,097,991,637.50 is: 2,286,863,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,178,690 : 1,097,991,637.50 = 1,097,991,637.50 : x
  2. Step 2: Convert to fraction form
    527,178,690/1,097,991,637.50 = 1,097,991,637.50/x
  3. Step 3: Cross multiply
    527,178,690x = 1,097,991,637.50 × 1,097,991,637.50
  4. Step 4: Simplify right side
    527,178,690x = 1,205,585,636,019,931,392
  5. Step 5: Solve for x
    x = 1,205,585,636,019,931,392/527,178,690
  6. Step 6: Final answer
    x = 2,286,863,370.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.