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Finding the Third Proportional to 18,877,287,632.70 and 40,896,590,421.80

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Solution

The third proportional to 18,877,287,632.70 and 40,896,590,421.80 is: 88,600,181,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,877,287,632.70 : 40,896,590,421.80 = 40,896,590,421.80 : x
  2. Step 2: Convert to fraction form
    18,877,287,632.70/40,896,590,421.80 = 40,896,590,421.80/x
  3. Step 3: Cross multiply
    18,877,287,632.70x = 40,896,590,421.80 × 40,896,590,421.80
  4. Step 4: Simplify right side
    18,877,287,632.70x = 1,672,531,108,128,054,312,960
  5. Step 5: Solve for x
    x = 1,672,531,108,128,054,312,960/18,877,287,632.70
  6. Step 6: Final answer
    x = 88,600,181,375.16

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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.