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Finding the Third Proportional to 3,107,352,936 and 6,657,927,024

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Solution

The third proportional to 3,107,352,936 and 6,657,927,024 is: 14,265,515,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107,352,936 : 6,657,927,024 = 6,657,927,024 : x
  2. Step 2: Convert to fraction form
    3,107,352,936/6,657,927,024 = 6,657,927,024/x
  3. Step 3: Cross multiply
    3,107,352,936x = 6,657,927,024 × 6,657,927,024
  4. Step 4: Simplify right side
    3,107,352,936x = 44,327,992,256,909,500,416
  5. Step 5: Solve for x
    x = 44,327,992,256,909,500,416/3,107,352,936
  6. Step 6: Final answer
    x = 14,265,515,752.44

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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.