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Finding the Third Proportional to 22,749,547,399 and 49,458,775,120

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Solution

The third proportional to 22,749,547,399 and 49,458,775,120 is: 107,526,114,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,749,547,399 : 49,458,775,120 = 49,458,775,120 : x
  2. Step 2: Convert to fraction form
    22,749,547,399/49,458,775,120 = 49,458,775,120/x
  3. Step 3: Cross multiply
    22,749,547,399x = 49,458,775,120 × 49,458,775,120
  4. Step 4: Simplify right side
    22,749,547,399x = 2,446,170,436,370,730,844,160
  5. Step 5: Solve for x
    x = 2,446,170,436,370,730,844,160/22,749,547,399
  6. Step 6: Final answer
    x = 107,526,114,408.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.