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Finding the Third Proportional to 921,033,394 and 1,503,805,427

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Solution

The third proportional to 921,033,394 and 1,503,805,427 is: 2,455,318,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,033,394 : 1,503,805,427 = 1,503,805,427 : x
  2. Step 2: Convert to fraction form
    921,033,394/1,503,805,427 = 1,503,805,427/x
  3. Step 3: Cross multiply
    921,033,394x = 1,503,805,427 × 1,503,805,427
  4. Step 4: Simplify right side
    921,033,394x = 2,261,430,762,274,652,416
  5. Step 5: Solve for x
    x = 2,261,430,762,274,652,416/921,033,394
  6. Step 6: Final answer
    x = 2,455,318,967.81

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.