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Finding the Third Proportional to 3,170,695,890 and 6,630,495,684

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Solution

The third proportional to 3,170,695,890 and 6,630,495,684 is: 13,865,559,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170,695,890 : 6,630,495,684 = 6,630,495,684 : x
  2. Step 2: Convert to fraction form
    3,170,695,890/6,630,495,684 = 6,630,495,684/x
  3. Step 3: Cross multiply
    3,170,695,890x = 6,630,495,684 × 6,630,495,684
  4. Step 4: Simplify right side
    3,170,695,890x = 43,963,473,015,542,628,352
  5. Step 5: Solve for x
    x = 43,963,473,015,542,628,352/3,170,695,890
  6. Step 6: Final answer
    x = 13,865,559,656.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.