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Finding the Third Proportional to 3,509,196,342 and 7,802,998,887

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Solution

The third proportional to 3,509,196,342 and 7,802,998,887 is: 17,350,636,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509,196,342 : 7,802,998,887 = 7,802,998,887 : x
  2. Step 2: Convert to fraction form
    3,509,196,342/7,802,998,887 = 7,802,998,887/x
  3. Step 3: Cross multiply
    3,509,196,342x = 7,802,998,887 × 7,802,998,887
  4. Step 4: Simplify right side
    3,509,196,342x = 60,886,791,630,523,236,352
  5. Step 5: Solve for x
    x = 60,886,791,630,523,236,352/3,509,196,342
  6. Step 6: Final answer
    x = 17,350,636,925.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.