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Finding the Third Proportional to 4,714,785,376 and 7,857,502,062

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Solution

The third proportional to 4,714,785,376 and 7,857,502,062 is: 13,095,047,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,785,376 : 7,857,502,062 = 7,857,502,062 : x
  2. Step 2: Convert to fraction form
    4,714,785,376/7,857,502,062 = 7,857,502,062/x
  3. Step 3: Cross multiply
    4,714,785,376x = 7,857,502,062 × 7,857,502,062
  4. Step 4: Simplify right side
    4,714,785,376x = 61,740,338,654,334,255,104
  5. Step 5: Solve for x
    x = 61,740,338,654,334,255,104/4,714,785,376
  6. Step 6: Final answer
    x = 13,095,047,543.12

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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.