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Finding the Third Proportional to 902,259,295.50 and 1,435,671,880.50

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Solution

The third proportional to 902,259,295.50 and 1,435,671,880.50 is: 2,284,436,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,259,295.50 : 1,435,671,880.50 = 1,435,671,880.50 : x
  2. Step 2: Convert to fraction form
    902,259,295.50/1,435,671,880.50 = 1,435,671,880.50/x
  3. Step 3: Cross multiply
    902,259,295.50x = 1,435,671,880.50 × 1,435,671,880.50
  4. Step 4: Simplify right side
    902,259,295.50x = 2,061,153,748,458,406,400
  5. Step 5: Solve for x
    x = 2,061,153,748,458,406,400/902,259,295.50
  6. Step 6: Final answer
    x = 2,284,436,146.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.