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Finding the Third Proportional to 265,502,036 and 415,574,721

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Solution

The third proportional to 265,502,036 and 415,574,721 is: 650,474,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,502,036 : 415,574,721 = 415,574,721 : x
  2. Step 2: Convert to fraction form
    265,502,036/415,574,721 = 415,574,721/x
  3. Step 3: Cross multiply
    265,502,036x = 415,574,721 × 415,574,721
  4. Step 4: Simplify right side
    265,502,036x = 172,702,348,734,227,840
  5. Step 5: Solve for x
    x = 172,702,348,734,227,840/265,502,036
  6. Step 6: Final answer
    x = 650,474,668.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.