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Finding the Third Proportional to 244,365,796,603.50 and 526,078,293,817.50

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Solution

The third proportional to 244,365,796,603.50 and 526,078,293,817.50 is: 1,132,557,727,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,365,796,603.50 : 526,078,293,817.50 = 526,078,293,817.50 : x
  2. Step 2: Convert to fraction form
    244,365,796,603.50/526,078,293,817.50 = 526,078,293,817.50/x
  3. Step 3: Cross multiply
    244,365,796,603.50x = 526,078,293,817.50 × 526,078,293,817.50
  4. Step 4: Simplify right side
    244,365,796,603.50x = 276,758,371,225,931,851,235,328
  5. Step 5: Solve for x
    x = 276,758,371,225,931,851,235,328/244,365,796,603.50
  6. Step 6: Final answer
    x = 1,132,557,727,278.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.