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Finding the Third Proportional to 3,170,695,893 and 6,630,495,690

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Solution

The third proportional to 3,170,695,893 and 6,630,495,690 is: 13,865,559,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170,695,893 : 6,630,495,690 = 6,630,495,690 : x
  2. Step 2: Convert to fraction form
    3,170,695,893/6,630,495,690 = 6,630,495,690/x
  3. Step 3: Cross multiply
    3,170,695,893x = 6,630,495,690 × 6,630,495,690
  4. Step 4: Simplify right side
    3,170,695,893x = 43,963,473,095,108,575,232
  5. Step 5: Solve for x
    x = 43,963,473,095,108,575,232/3,170,695,893
  6. Step 6: Final answer
    x = 13,865,559,668.52

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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.