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Finding the Third Proportional to 4,714,785,374 and 7,857,502,064

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Solution

The third proportional to 4,714,785,374 and 7,857,502,064 is: 13,095,047,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,785,374 : 7,857,502,064 = 7,857,502,064 : x
  2. Step 2: Convert to fraction form
    4,714,785,374/7,857,502,064 = 7,857,502,064/x
  3. Step 3: Cross multiply
    4,714,785,374x = 7,857,502,064 × 7,857,502,064
  4. Step 4: Simplify right side
    4,714,785,374x = 61,740,338,685,764,263,936
  5. Step 5: Solve for x
    x = 61,740,338,685,764,263,936/4,714,785,374
  6. Step 6: Final answer
    x = 13,095,047,555.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.