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Finding the Third Proportional to 3,070,835,946 and 6,630,996,204

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Solution

The third proportional to 3,070,835,946 and 6,630,996,204 is: 14,318,612,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070,835,946 : 6,630,996,204 = 6,630,996,204 : x
  2. Step 2: Convert to fraction form
    3,070,835,946/6,630,996,204 = 6,630,996,204/x
  3. Step 3: Cross multiply
    3,070,835,946x = 6,630,996,204 × 6,630,996,204
  4. Step 4: Simplify right side
    3,070,835,946x = 43,970,110,657,462,411,264
  5. Step 5: Solve for x
    x = 43,970,110,657,462,411,264/3,070,835,946
  6. Step 6: Final answer
    x = 14,318,612,726.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.