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Finding the Third Proportional to 4,078,298,507 and 6,297,606,621

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Solution

The third proportional to 4,078,298,507 and 6,297,606,621 is: 9,724,606,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,298,507 : 6,297,606,621 = 6,297,606,621 : x
  2. Step 2: Convert to fraction form
    4,078,298,507/6,297,606,621 = 6,297,606,621/x
  3. Step 3: Cross multiply
    4,078,298,507x = 6,297,606,621 × 6,297,606,621
  4. Step 4: Simplify right side
    4,078,298,507x = 39,659,849,152,863,035,392
  5. Step 5: Solve for x
    x = 39,659,849,152,863,035,392/4,078,298,507
  6. Step 6: Final answer
    x = 9,724,606,740.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.