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Finding the Third Proportional to 2,536,705,434 and 5,572,256,820

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Solution

The third proportional to 2,536,705,434 and 5,572,256,820 is: 12,240,304,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536,705,434 : 5,572,256,820 = 5,572,256,820 : x
  2. Step 2: Convert to fraction form
    2,536,705,434/5,572,256,820 = 5,572,256,820/x
  3. Step 3: Cross multiply
    2,536,705,434x = 5,572,256,820 × 5,572,256,820
  4. Step 4: Simplify right side
    2,536,705,434x = 31,050,046,068,036,513,792
  5. Step 5: Solve for x
    x = 31,050,046,068,036,513,792/2,536,705,434
  6. Step 6: Final answer
    x = 12,240,304,156.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.