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Finding the Third Proportional to 374,160,285,065 and 768,155,896,851

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Solution

The third proportional to 374,160,285,065 and 768,155,896,851 is: 1,577,033,975,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,160,285,065 : 768,155,896,851 = 768,155,896,851 : x
  2. Step 2: Convert to fraction form
    374,160,285,065/768,155,896,851 = 768,155,896,851/x
  3. Step 3: Cross multiply
    374,160,285,065x = 768,155,896,851 × 768,155,896,851
  4. Step 4: Simplify right side
    374,160,285,065x = 590,063,481,866,964,124,565,504
  5. Step 5: Solve for x
    x = 590,063,481,866,964,124,565,504/374,160,285,065
  6. Step 6: Final answer
    x = 1,577,033,975,598.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.