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Finding the Third Proportional to 6,706,593,488,700 and 14,588,251,502,040

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Solution

The third proportional to 6,706,593,488,700 and 14,588,251,502,040 is: 31,732,515,508,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706,593,488,700 : 14,588,251,502,040 = 14,588,251,502,040 : x
  2. Step 2: Convert to fraction form
    6,706,593,488,700/14,588,251,502,040 = 14,588,251,502,040/x
  3. Step 3: Cross multiply
    6,706,593,488,700x = 14,588,251,502,040 × 14,588,251,502,040
  4. Step 4: Simplify right side
    6,706,593,488,700x = 212,817,081,886,772,325,074,862,080
  5. Step 5: Solve for x
    x = 212,817,081,886,772,325,074,862,080/6,706,593,488,700
  6. Step 6: Final answer
    x = 31,732,515,508,111.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.