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Finding the Third Proportional to 469,266,813 and 709,939,989

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Solution

The third proportional to 469,266,813 and 709,939,989 is: 1,074,047,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,266,813 : 709,939,989 = 709,939,989 : x
  2. Step 2: Convert to fraction form
    469,266,813/709,939,989 = 709,939,989/x
  3. Step 3: Cross multiply
    469,266,813x = 709,939,989 × 709,939,989
  4. Step 4: Simplify right side
    469,266,813x = 504,014,787,981,320,128
  5. Step 5: Solve for x
    x = 504,014,787,981,320,128/469,266,813
  6. Step 6: Final answer
    x = 1,074,047,373.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.