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Finding the Third Proportional to 2,980,406,632 and 6,269,673,392

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Solution

The third proportional to 2,980,406,632 and 6,269,673,392 is: 13,189,074,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,406,632 : 6,269,673,392 = 6,269,673,392 : x
  2. Step 2: Convert to fraction form
    2,980,406,632/6,269,673,392 = 6,269,673,392/x
  3. Step 3: Cross multiply
    2,980,406,632x = 6,269,673,392 × 6,269,673,392
  4. Step 4: Simplify right side
    2,980,406,632x = 39,308,804,442,352,787,456
  5. Step 5: Solve for x
    x = 39,308,804,442,352,787,456/2,980,406,632
  6. Step 6: Final answer
    x = 13,189,074,276.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.