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Finding the Third Proportional to 214,582,878 and 463,465,773

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Solution

The third proportional to 214,582,878 and 463,465,773 is: 1,001,014,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,582,878 : 463,465,773 = 463,465,773 : x
  2. Step 2: Convert to fraction form
    214,582,878/463,465,773 = 463,465,773/x
  3. Step 3: Cross multiply
    214,582,878x = 463,465,773 × 463,465,773
  4. Step 4: Simplify right side
    214,582,878x = 214,800,522,742,487,520
  5. Step 5: Solve for x
    x = 214,800,522,742,487,520/214,582,878
  6. Step 6: Final answer
    x = 1,001,014,268.91

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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.