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Finding the Third Proportional to 505,771,904,368 and 1,092,155,078,687

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Solution

The third proportional to 505,771,904,368 and 1,092,155,078,687 is: 2,358,380,735,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,771,904,368 : 1,092,155,078,687 = 1,092,155,078,687 : x
  2. Step 2: Convert to fraction form
    505,771,904,368/1,092,155,078,687 = 1,092,155,078,687/x
  3. Step 3: Cross multiply
    505,771,904,368x = 1,092,155,078,687 × 1,092,155,078,687
  4. Step 4: Simplify right side
    505,771,904,368x = 1,192,802,715,901,807,191,654,400
  5. Step 5: Solve for x
    x = 1,192,802,715,901,807,191,654,400/505,771,904,368
  6. Step 6: Final answer
    x = 2,358,380,735,664.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.