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Finding the Third Proportional to 257,867,868 and 556,572,648

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Solution

The third proportional to 257,867,868 and 556,572,648 is: 1,201,286,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,867,868 : 556,572,648 = 556,572,648 : x
  2. Step 2: Convert to fraction form
    257,867,868/556,572,648 = 556,572,648/x
  3. Step 3: Cross multiply
    257,867,868x = 556,572,648 × 556,572,648
  4. Step 4: Simplify right side
    257,867,868x = 309,773,112,501,731,904
  5. Step 5: Solve for x
    x = 309,773,112,501,731,904/257,867,868
  6. Step 6: Final answer
    x = 1,201,286,204.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.