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Finding the Third Proportional to 8,862,979,727 and 19,196,725,702

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Solution

The third proportional to 8,862,979,727 and 19,196,725,702 is: 41,579,050,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862,979,727 : 19,196,725,702 = 19,196,725,702 : x
  2. Step 2: Convert to fraction form
    8,862,979,727/19,196,725,702 = 19,196,725,702/x
  3. Step 3: Cross multiply
    8,862,979,727x = 19,196,725,702 × 19,196,725,702
  4. Step 4: Simplify right side
    8,862,979,727x = 368,514,277,677,827,424,256
  5. Step 5: Solve for x
    x = 368,514,277,677,827,424,256/8,862,979,727
  6. Step 6: Final answer
    x = 41,579,050,051.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.