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Finding the Third Proportional to 11,637,770,352 and 25,528,672,992

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Solution

The third proportional to 11,637,770,352 and 25,528,672,992 is: 55,999,828,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637,770,352 : 25,528,672,992 = 25,528,672,992 : x
  2. Step 2: Convert to fraction form
    11,637,770,352/25,528,672,992 = 25,528,672,992/x
  3. Step 3: Cross multiply
    11,637,770,352x = 25,528,672,992 × 25,528,672,992
  4. Step 4: Simplify right side
    11,637,770,352x = 651,713,144,732,470,214,656
  5. Step 5: Solve for x
    x = 651,713,144,732,470,214,656/11,637,770,352
  6. Step 6: Final answer
    x = 55,999,828,577.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.