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Finding the Third Proportional to 263,621,482,860 and 572,183,742,465

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Solution

The third proportional to 263,621,482,860 and 572,183,742,465 is: 1,241,910,301,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,621,482,860 : 572,183,742,465 = 572,183,742,465 : x
  2. Step 2: Convert to fraction form
    263,621,482,860/572,183,742,465 = 572,183,742,465/x
  3. Step 3: Cross multiply
    263,621,482,860x = 572,183,742,465 × 572,183,742,465
  4. Step 4: Simplify right side
    263,621,482,860x = 327,394,235,141,253,412,945,920
  5. Step 5: Solve for x
    x = 327,394,235,141,253,412,945,920/263,621,482,860
  6. Step 6: Final answer
    x = 1,241,910,301,047.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.