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Finding the Third Proportional to 78,090,426,467.44 and 109,968,528,428.44

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Solution

The third proportional to 78,090,426,467.44 and 109,968,528,428.44 is: 154,859,920,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,090,426,467.44 : 109,968,528,428.44 = 109,968,528,428.44 : x
  2. Step 2: Convert to fraction form
    78,090,426,467.44/109,968,528,428.44 = 109,968,528,428.44/x
  3. Step 3: Cross multiply
    78,090,426,467.44x = 109,968,528,428.44 × 109,968,528,428.44
  4. Step 4: Simplify right side
    78,090,426,467.44x = 12,093,077,244,716,615,991,296
  5. Step 5: Solve for x
    x = 12,093,077,244,716,615,991,296/78,090,426,467.44
  6. Step 6: Final answer
    x = 154,859,920,630.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.