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Finding the Third Proportional to 119,852,841,897 and 260,804,612,009

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Solution

The third proportional to 119,852,841,897 and 260,804,612,009 is: 567,521,341,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,852,841,897 : 260,804,612,009 = 260,804,612,009 : x
  2. Step 2: Convert to fraction form
    119,852,841,897/260,804,612,009 = 260,804,612,009/x
  3. Step 3: Cross multiply
    119,852,841,897x = 260,804,612,009 × 260,804,612,009
  4. Step 4: Simplify right side
    119,852,841,897x = 68,019,045,645,165,025,820,672
  5. Step 5: Solve for x
    x = 68,019,045,645,165,025,820,672/119,852,841,897
  6. Step 6: Final answer
    x = 567,521,341,743.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.