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Finding the Third Proportional to 4,097,748,313,047 and 9,111,694,663,920

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Solution

The third proportional to 4,097,748,313,047 and 9,111,694,663,920 is: 20,260,634,208,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,748,313,047 : 9,111,694,663,920 = 9,111,694,663,920 : x
  2. Step 2: Convert to fraction form
    4,097,748,313,047/9,111,694,663,920 = 9,111,694,663,920/x
  3. Step 3: Cross multiply
    4,097,748,313,047x = 9,111,694,663,920 × 9,111,694,663,920
  4. Step 4: Simplify right side
    4,097,748,313,047x = 83,022,979,648,508,203,907,416,064
  5. Step 5: Solve for x
    x = 83,022,979,648,508,203,907,416,064/4,097,748,313,047
  6. Step 6: Final answer
    x = 20,260,634,208,345.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.