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Finding the Third Proportional to 7,287,717,444,783 and 15,178,634,975,770

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Solution

The third proportional to 7,287,717,444,783 and 15,178,634,975,770 is: 31,613,596,640,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287,717,444,783 : 15,178,634,975,770 = 15,178,634,975,770 : x
  2. Step 2: Convert to fraction form
    7,287,717,444,783/15,178,634,975,770 = 15,178,634,975,770/x
  3. Step 3: Cross multiply
    7,287,717,444,783x = 15,178,634,975,770 × 15,178,634,975,770
  4. Step 4: Simplify right side
    7,287,717,444,783x = 230,390,959,727,668,340,715,421,696
  5. Step 5: Solve for x
    x = 230,390,959,727,668,340,715,421,696/7,287,717,444,783
  6. Step 6: Final answer
    x = 31,613,596,640,275.41

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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.