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Finding the Third Proportional to 1,381,038,026 and 2,959,063,516

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Solution

The third proportional to 1,381,038,026 and 2,959,063,516 is: 6,340,199,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,038,026 : 2,959,063,516 = 2,959,063,516 : x
  2. Step 2: Convert to fraction form
    1,381,038,026/2,959,063,516 = 2,959,063,516/x
  3. Step 3: Cross multiply
    1,381,038,026x = 2,959,063,516 × 2,959,063,516
  4. Step 4: Simplify right side
    1,381,038,026x = 8,756,056,891,722,281,984
  5. Step 5: Solve for x
    x = 8,756,056,891,722,281,984/1,381,038,026
  6. Step 6: Final answer
    x = 6,340,199,709.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.