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Finding the Third Proportional to 6,900,628,416 and 9,867,979,392

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Solution

The third proportional to 6,900,628,416 and 9,867,979,392 is: 14,111,326,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900,628,416 : 9,867,979,392 = 9,867,979,392 : x
  2. Step 2: Convert to fraction form
    6,900,628,416/9,867,979,392 = 9,867,979,392/x
  3. Step 3: Cross multiply
    6,900,628,416x = 9,867,979,392 × 9,867,979,392
  4. Step 4: Simplify right side
    6,900,628,416x = 97,377,017,280,936,689,664
  5. Step 5: Solve for x
    x = 97,377,017,280,936,689,664/6,900,628,416
  6. Step 6: Final answer
    x = 14,111,326,014.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.