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Finding the Third Proportional to 468,603,264 and 975,992,539.50

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Solution

The third proportional to 468,603,264 and 975,992,539.50 is: 2,032,767,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,603,264 : 975,992,539.50 = 975,992,539.50 : x
  2. Step 2: Convert to fraction form
    468,603,264/975,992,539.50 = 975,992,539.50/x
  3. Step 3: Cross multiply
    468,603,264x = 975,992,539.50 × 975,992,539.50
  4. Step 4: Simplify right side
    468,603,264x = 952,561,437,159,659,008
  5. Step 5: Solve for x
    x = 952,561,437,159,659,008/468,603,264
  6. Step 6: Final answer
    x = 2,032,767,396.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.