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Finding the Third Proportional to 464,071,518 and 671,128,335

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Solution

The third proportional to 464,071,518 and 671,128,335 is: 970,568,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,071,518 : 671,128,335 = 671,128,335 : x
  2. Step 2: Convert to fraction form
    464,071,518/671,128,335 = 671,128,335/x
  3. Step 3: Cross multiply
    464,071,518x = 671,128,335 × 671,128,335
  4. Step 4: Simplify right side
    464,071,518x = 450,413,242,039,872,256
  5. Step 5: Solve for x
    x = 450,413,242,039,872,256/464,071,518
  6. Step 6: Final answer
    x = 970,568,596.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.