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Finding the Third Proportional to 18,422,877,276 and 26,326,771,696.13

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Solution

The third proportional to 18,422,877,276 and 26,326,771,696.13 is: 37,621,642,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422,877,276 : 26,326,771,696.13 = 26,326,771,696.13 : x
  2. Step 2: Convert to fraction form
    18,422,877,276/26,326,771,696.13 = 26,326,771,696.13/x
  3. Step 3: Cross multiply
    18,422,877,276x = 26,326,771,696.13 × 26,326,771,696.13
  4. Step 4: Simplify right side
    18,422,877,276x = 693,098,907,939,888,431,104
  5. Step 5: Solve for x
    x = 693,098,907,939,888,431,104/18,422,877,276
  6. Step 6: Final answer
    x = 37,621,642,784.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.