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Finding the Third Proportional to 553,041,889 and 1,184,967,646

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Solution

The third proportional to 553,041,889 and 1,184,967,646 is: 2,538,954,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,041,889 : 1,184,967,646 = 1,184,967,646 : x
  2. Step 2: Convert to fraction form
    553,041,889/1,184,967,646 = 1,184,967,646/x
  3. Step 3: Cross multiply
    553,041,889x = 1,184,967,646 × 1,184,967,646
  4. Step 4: Simplify right side
    553,041,889x = 1,404,148,322,066,781,440
  5. Step 5: Solve for x
    x = 1,404,148,322,066,781,440/553,041,889
  6. Step 6: Final answer
    x = 2,538,954,733.80

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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.