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Finding the Third Proportional to 6,787,938,580 and 14,613,285,522

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Solution

The third proportional to 6,787,938,580 and 14,613,285,522 is: 31,459,936,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,938,580 : 14,613,285,522 = 14,613,285,522 : x
  2. Step 2: Convert to fraction form
    6,787,938,580/14,613,285,522 = 14,613,285,522/x
  3. Step 3: Cross multiply
    6,787,938,580x = 14,613,285,522 × 14,613,285,522
  4. Step 4: Simplify right side
    6,787,938,580x = 213,548,113,747,494,797,312
  5. Step 5: Solve for x
    x = 213,548,113,747,494,797,312/6,787,938,580
  6. Step 6: Final answer
    x = 31,459,936,066.11

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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.