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Finding the Third Proportional to 947,059,087,836 and 1,368,336,835,494

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Solution

The third proportional to 947,059,087,836 and 1,368,336,835,494 is: 1,977,010,430,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,059,087,836 : 1,368,336,835,494 = 1,368,336,835,494 : x
  2. Step 2: Convert to fraction form
    947,059,087,836/1,368,336,835,494 = 1,368,336,835,494/x
  3. Step 3: Cross multiply
    947,059,087,836x = 1,368,336,835,494 × 1,368,336,835,494
  4. Step 4: Simplify right side
    947,059,087,836x = 1,872,345,695,369,733,892,734,976
  5. Step 5: Solve for x
    x = 1,872,345,695,369,733,892,734,976/947,059,087,836
  6. Step 6: Final answer
    x = 1,977,010,430,941.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.