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Finding the Third Proportional to 4,714,785,387 and 7,857,502,078.50

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Solution

The third proportional to 4,714,785,387 and 7,857,502,078.50 is: 13,095,047,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,785,387 : 7,857,502,078.50 = 7,857,502,078.50 : x
  2. Step 2: Convert to fraction form
    4,714,785,387/7,857,502,078.50 = 7,857,502,078.50/x
  3. Step 3: Cross multiply
    4,714,785,387x = 7,857,502,078.50 × 7,857,502,078.50
  4. Step 4: Simplify right side
    4,714,785,387x = 61,740,338,913,631,821,824
  5. Step 5: Solve for x
    x = 61,740,338,913,631,821,824/4,714,785,387
  6. Step 6: Final answer
    x = 13,095,047,567.57

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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.