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Finding the Third Proportional to 9,655,173,354 and 20,848,874,964

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Solution

The third proportional to 9,655,173,354 and 20,848,874,964 is: 45,019,967,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655,173,354 : 20,848,874,964 = 20,848,874,964 : x
  2. Step 2: Convert to fraction form
    9,655,173,354/20,848,874,964 = 20,848,874,964/x
  3. Step 3: Cross multiply
    9,655,173,354x = 20,848,874,964 × 20,848,874,964
  4. Step 4: Simplify right side
    9,655,173,354x = 434,675,587,264,505,970,688
  5. Step 5: Solve for x
    x = 434,675,587,264,505,970,688/9,655,173,354
  6. Step 6: Final answer
    x = 45,019,967,154.13

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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.