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Finding the Third Proportional to 4,070,863,896 and 8,817,699,523

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Solution

The third proportional to 4,070,863,896 and 8,817,699,523 is: 19,099,588,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070,863,896 : 8,817,699,523 = 8,817,699,523 : x
  2. Step 2: Convert to fraction form
    4,070,863,896/8,817,699,523 = 8,817,699,523/x
  3. Step 3: Cross multiply
    4,070,863,896x = 8,817,699,523 × 8,817,699,523
  4. Step 4: Simplify right side
    4,070,863,896x = 77,751,824,877,914,423,296
  5. Step 5: Solve for x
    x = 77,751,824,877,914,423,296/4,070,863,896
  6. Step 6: Final answer
    x = 19,099,588,407.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.