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Finding the Third Proportional to 1,176,033,243 and 2,559,461,244

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Solution

The third proportional to 1,176,033,243 and 2,559,461,244 is: 5,570,286,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,033,243 : 2,559,461,244 = 2,559,461,244 : x
  2. Step 2: Convert to fraction form
    1,176,033,243/2,559,461,244 = 2,559,461,244/x
  3. Step 3: Cross multiply
    1,176,033,243x = 2,559,461,244 × 2,559,461,244
  4. Step 4: Simplify right side
    1,176,033,243x = 6,550,841,859,538,027,520
  5. Step 5: Solve for x
    x = 6,550,841,859,538,027,520/1,176,033,243
  6. Step 6: Final answer
    x = 5,570,286,298.05

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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.