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Finding the Third Proportional to 431,449,276 and 943,615,952

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Solution

The third proportional to 431,449,276 and 943,615,952 is: 2,063,767,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,449,276 : 943,615,952 = 943,615,952 : x
  2. Step 2: Convert to fraction form
    431,449,276/943,615,952 = 943,615,952/x
  3. Step 3: Cross multiply
    431,449,276x = 943,615,952 × 943,615,952
  4. Step 4: Simplify right side
    431,449,276x = 890,411,064,868,866,304
  5. Step 5: Solve for x
    x = 890,411,064,868,866,304/431,449,276
  6. Step 6: Final answer
    x = 2,063,767,664.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.