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Finding the Third Proportional to 9,604,540,038 and 20,812,112,196

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Solution

The third proportional to 9,604,540,038 and 20,812,112,196 is: 45,097,840,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604,540,038 : 20,812,112,196 = 20,812,112,196 : x
  2. Step 2: Convert to fraction form
    9,604,540,038/20,812,112,196 = 20,812,112,196/x
  3. Step 3: Cross multiply
    9,604,540,038x = 20,812,112,196 × 20,812,112,196
  4. Step 4: Simplify right side
    9,604,540,038x = 433,144,014,058,891,968,512
  5. Step 5: Solve for x
    x = 433,144,014,058,891,968,512/9,604,540,038
  6. Step 6: Final answer
    x = 45,097,840,432.25

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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.