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Finding the Third Proportional to 1,334,038,068 and 2,897,723,232

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Solution

The third proportional to 1,334,038,068 and 2,897,723,232 is: 6,294,273,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,038,068 : 2,897,723,232 = 2,897,723,232 : x
  2. Step 2: Convert to fraction form
    1,334,038,068/2,897,723,232 = 2,897,723,232/x
  3. Step 3: Cross multiply
    1,334,038,068x = 2,897,723,232 × 2,897,723,232
  4. Step 4: Simplify right side
    1,334,038,068x = 8,396,799,929,272,525,824
  5. Step 5: Solve for x
    x = 8,396,799,929,272,525,824/1,334,038,068
  6. Step 6: Final answer
    x = 6,294,273,102.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.