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Finding the Third Proportional to 1,072,184,438 and 2,334,225,948

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Solution

The third proportional to 1,072,184,438 and 2,334,225,948 is: 5,081,784,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,184,438 : 2,334,225,948 = 2,334,225,948 : x
  2. Step 2: Convert to fraction form
    1,072,184,438/2,334,225,948 = 2,334,225,948/x
  3. Step 3: Cross multiply
    1,072,184,438x = 2,334,225,948 × 2,334,225,948
  4. Step 4: Simplify right side
    1,072,184,438x = 5,448,610,776,316,498,944
  5. Step 5: Solve for x
    x = 5,448,610,776,316,498,944/1,072,184,438
  6. Step 6: Final answer
    x = 5,081,784,983.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.