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Finding the Third Proportional to 7,287,717,395,058 and 15,178,634,873,040

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Solution

The third proportional to 7,287,717,395,058 and 15,178,634,873,040 is: 31,613,596,428,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287,717,395,058 : 15,178,634,873,040 = 15,178,634,873,040 : x
  2. Step 2: Convert to fraction form
    7,287,717,395,058/15,178,634,873,040 = 15,178,634,873,040/x
  3. Step 3: Cross multiply
    7,287,717,395,058x = 15,178,634,873,040 × 15,178,634,873,040
  4. Step 4: Simplify right side
    7,287,717,395,058x = 230,390,956,609,066,027,012,063,232
  5. Step 5: Solve for x
    x = 230,390,956,609,066,027,012,063,232/7,287,717,395,058
  6. Step 6: Final answer
    x = 31,613,596,428,053.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.