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Finding the Third Proportional to 947,059,087,838 and 1,368,336,835,497

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Solution

The third proportional to 947,059,087,838 and 1,368,336,835,497 is: 1,977,010,430,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,059,087,838 : 1,368,336,835,497 = 1,368,336,835,497 : x
  2. Step 2: Convert to fraction form
    947,059,087,838/1,368,336,835,497 = 1,368,336,835,497/x
  3. Step 3: Cross multiply
    947,059,087,838x = 1,368,336,835,497 × 1,368,336,835,497
  4. Step 4: Simplify right side
    947,059,087,838x = 1,872,345,695,377,943,991,156,736
  5. Step 5: Solve for x
    x = 1,872,345,695,377,943,991,156,736/947,059,087,838
  6. Step 6: Final answer
    x = 1,977,010,430,946.01

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