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Finding the Third Proportional to 505,771,905,368 and 1,092,155,081,296

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Solution

The third proportional to 505,771,905,368 and 1,092,155,081,296 is: 2,358,380,742,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,771,905,368 : 1,092,155,081,296 = 1,092,155,081,296 : x
  2. Step 2: Convert to fraction form
    505,771,905,368/1,092,155,081,296 = 1,092,155,081,296/x
  3. Step 3: Cross multiply
    505,771,905,368x = 1,092,155,081,296 × 1,092,155,081,296
  4. Step 4: Simplify right side
    505,771,905,368x = 1,192,802,721,600,672,326,746,112
  5. Step 5: Solve for x
    x = 1,192,802,721,600,672,326,746,112/505,771,905,368
  6. Step 6: Final answer
    x = 2,358,380,742,269.16

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Why These Related Problems?

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