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Finding the Third Proportional to 5,245,573,187 and 8,564,642,139

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Solution

The third proportional to 5,245,573,187 and 8,564,642,139 is: 13,983,809,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245,573,187 : 8,564,642,139 = 8,564,642,139 : x
  2. Step 2: Convert to fraction form
    5,245,573,187/8,564,642,139 = 8,564,642,139/x
  3. Step 3: Cross multiply
    5,245,573,187x = 8,564,642,139 × 8,564,642,139
  4. Step 4: Simplify right side
    5,245,573,187x = 73,353,094,969,134,497,792
  5. Step 5: Solve for x
    x = 73,353,094,969,134,497,792/5,245,573,187
  6. Step 6: Final answer
    x = 13,983,809,271.96

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.