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Finding the Third Proportional to 288,716,848 and 681,342,454

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Solution

The third proportional to 288,716,848 and 681,342,454 is: 1,607,899,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,716,848 : 681,342,454 = 681,342,454 : x
  2. Step 2: Convert to fraction form
    288,716,848/681,342,454 = 681,342,454/x
  3. Step 3: Cross multiply
    288,716,848x = 681,342,454 × 681,342,454
  4. Step 4: Simplify right side
    288,716,848x = 464,227,539,622,742,144
  5. Step 5: Solve for x
    x = 464,227,539,622,742,144/288,716,848
  6. Step 6: Final answer
    x = 1,607,899,029.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.