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Finding the Third Proportional to 2,692,345,054 and 4,135,771,658

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Solution

The third proportional to 2,692,345,054 and 4,135,771,658 is: 6,353,051,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,345,054 : 4,135,771,658 = 4,135,771,658 : x
  2. Step 2: Convert to fraction form
    2,692,345,054/4,135,771,658 = 4,135,771,658/x
  3. Step 3: Cross multiply
    2,692,345,054x = 4,135,771,658 × 4,135,771,658
  4. Step 4: Simplify right side
    2,692,345,054x = 17,104,607,207,116,068,864
  5. Step 5: Solve for x
    x = 17,104,607,207,116,068,864/2,692,345,054
  6. Step 6: Final answer
    x = 6,353,051,657.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.