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Finding the Third Proportional to 1,414,528,927 and 2,975,645,766.50

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Solution

The third proportional to 1,414,528,927 and 2,975,645,766.50 is: 6,259,658,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,528,927 : 2,975,645,766.50 = 2,975,645,766.50 : x
  2. Step 2: Convert to fraction form
    1,414,528,927/2,975,645,766.50 = 2,975,645,766.50/x
  3. Step 3: Cross multiply
    1,414,528,927x = 2,975,645,766.50 × 2,975,645,766.50
  4. Step 4: Simplify right side
    1,414,528,927x = 8,854,467,727,689,372,672
  5. Step 5: Solve for x
    x = 8,854,467,727,689,372,672/1,414,528,927
  6. Step 6: Final answer
    x = 6,259,658,292.37

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