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Finding the Third Proportional to 3,107,335,546 and 6,657,892,884

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Solution

The third proportional to 3,107,335,546 and 6,657,892,884 is: 14,265,449,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107,335,546 : 6,657,892,884 = 6,657,892,884 : x
  2. Step 2: Convert to fraction form
    3,107,335,546/6,657,892,884 = 6,657,892,884/x
  3. Step 3: Cross multiply
    3,107,335,546x = 6,657,892,884 × 6,657,892,884
  4. Step 4: Simplify right side
    3,107,335,546x = 44,327,537,654,817,841,152
  5. Step 5: Solve for x
    x = 44,327,537,654,817,841,152/3,107,335,546
  6. Step 6: Final answer
    x = 14,265,449,288.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.