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Finding the Third Proportional to 553,041,887 and 1,184,967,640

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Solution

The third proportional to 553,041,887 and 1,184,967,640 is: 2,538,954,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,041,887 : 1,184,967,640 = 1,184,967,640 : x
  2. Step 2: Convert to fraction form
    553,041,887/1,184,967,640 = 1,184,967,640/x
  3. Step 3: Cross multiply
    553,041,887x = 1,184,967,640 × 1,184,967,640
  4. Step 4: Simplify right side
    553,041,887x = 1,404,148,307,847,169,536
  5. Step 5: Solve for x
    x = 1,404,148,307,847,169,536/553,041,887
  6. Step 6: Final answer
    x = 2,538,954,717.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.