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Finding the Third Proportional to 9,495,976,416 and 20,220,112,980

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Solution

The third proportional to 9,495,976,416 and 20,220,112,980 is: 43,055,390,095.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495,976,416 : 20,220,112,980 = 20,220,112,980 : x
  2. Step 2: Convert to fraction form
    9,495,976,416/20,220,112,980 = 20,220,112,980/x
  3. Step 3: Cross multiply
    9,495,976,416x = 20,220,112,980 × 20,220,112,980
  4. Step 4: Simplify right side
    9,495,976,416x = 408,852,968,923,964,506,112
  5. Step 5: Solve for x
    x = 408,852,968,923,964,506,112/9,495,976,416
  6. Step 6: Final answer
    x = 43,055,390,095.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.