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Finding the Third Proportional to 415,617,552 and 903,575,512

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Solution

The third proportional to 415,617,552 and 903,575,512 is: 1,964,423,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,617,552 : 903,575,512 = 903,575,512 : x
  2. Step 2: Convert to fraction form
    415,617,552/903,575,512 = 903,575,512/x
  3. Step 3: Cross multiply
    415,617,552x = 903,575,512 × 903,575,512
  4. Step 4: Simplify right side
    415,617,552x = 816,448,705,886,062,080
  5. Step 5: Solve for x
    x = 816,448,705,886,062,080/415,617,552
  6. Step 6: Final answer
    x = 1,964,423,066.25

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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.