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Finding the Third Proportional to 1,177,088,030 and 2,523,176,750

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Solution

The third proportional to 1,177,088,030 and 2,523,176,750 is: 5,408,619,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,088,030 : 2,523,176,750 = 2,523,176,750 : x
  2. Step 2: Convert to fraction form
    1,177,088,030/2,523,176,750 = 2,523,176,750/x
  3. Step 3: Cross multiply
    1,177,088,030x = 2,523,176,750 × 2,523,176,750
  4. Step 4: Simplify right side
    1,177,088,030x = 6,366,420,911,740,562,432
  5. Step 5: Solve for x
    x = 6,366,420,911,740,562,432/1,177,088,030
  6. Step 6: Final answer
    x = 5,408,619,193.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.