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Finding the Third Proportional to 505,771,905,360 and 1,092,155,081,280

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Solution

The third proportional to 505,771,905,360 and 1,092,155,081,280 is: 2,358,380,742,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,771,905,360 : 1,092,155,081,280 = 1,092,155,081,280 : x
  2. Step 2: Convert to fraction form
    505,771,905,360/1,092,155,081,280 = 1,092,155,081,280/x
  3. Step 3: Cross multiply
    505,771,905,360x = 1,092,155,081,280 × 1,092,155,081,280
  4. Step 4: Simplify right side
    505,771,905,360x = 1,192,802,721,565,723,372,552,192
  5. Step 5: Solve for x
    x = 1,192,802,721,565,723,372,552,192/505,771,905,360
  6. Step 6: Final answer
    x = 2,358,380,742,237.37

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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.