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Finding the Third Proportional to 1,293,710,167 and 2,814,091,732

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Solution

The third proportional to 1,293,710,167 and 2,814,091,732 is: 6,121,241,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,710,167 : 2,814,091,732 = 2,814,091,732 : x
  2. Step 2: Convert to fraction form
    1,293,710,167/2,814,091,732 = 2,814,091,732/x
  3. Step 3: Cross multiply
    1,293,710,167x = 2,814,091,732 × 2,814,091,732
  4. Step 4: Simplify right side
    1,293,710,167x = 7,919,112,276,110,759,936
  5. Step 5: Solve for x
    x = 7,919,112,276,110,759,936/1,293,710,167
  6. Step 6: Final answer
    x = 6,121,241,432.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.