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Finding the Third Proportional to 613,184,058 and 1,345,081,869

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Solution

The third proportional to 613,184,058 and 1,345,081,869 is: 2,950,574,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,184,058 : 1,345,081,869 = 1,345,081,869 : x
  2. Step 2: Convert to fraction form
    613,184,058/1,345,081,869 = 1,345,081,869/x
  3. Step 3: Cross multiply
    613,184,058x = 1,345,081,869 × 1,345,081,869
  4. Step 4: Simplify right side
    613,184,058x = 1,809,245,234,312,533,248
  5. Step 5: Solve for x
    x = 1,809,245,234,312,533,248/613,184,058
  6. Step 6: Final answer
    x = 2,950,574,482.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.