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Finding the Third Proportional to 6,208,683,585 and 9,310,745,055

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Solution

The third proportional to 6,208,683,585 and 9,310,745,055 is: 13,962,697,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208,683,585 : 9,310,745,055 = 9,310,745,055 : x
  2. Step 2: Convert to fraction form
    6,208,683,585/9,310,745,055 = 9,310,745,055/x
  3. Step 3: Cross multiply
    6,208,683,585x = 9,310,745,055 × 9,310,745,055
  4. Step 4: Simplify right side
    6,208,683,585x = 86,689,973,479,206,961,152
  5. Step 5: Solve for x
    x = 86,689,973,479,206,961,152/6,208,683,585
  6. Step 6: Final answer
    x = 13,962,697,936.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.