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Finding the Third Proportional to 4,609,869,363 and 9,918,910,188

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Solution

The third proportional to 4,609,869,363 and 9,918,910,188 is: 21,342,205,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609,869,363 : 9,918,910,188 = 9,918,910,188 : x
  2. Step 2: Convert to fraction form
    4,609,869,363/9,918,910,188 = 9,918,910,188/x
  3. Step 3: Cross multiply
    4,609,869,363x = 9,918,910,188 × 9,918,910,188
  4. Step 4: Simplify right side
    4,609,869,363x = 98,384,779,317,610,201,088
  5. Step 5: Solve for x
    x = 98,384,779,317,610,201,088/4,609,869,363
  6. Step 6: Final answer
    x = 21,342,205,509.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.