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Finding the Third Proportional to 2,161,359,074 and 5,097,085,205

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Solution

The third proportional to 2,161,359,074 and 5,097,085,205 is: 12,020,343,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,359,074 : 5,097,085,205 = 5,097,085,205 : x
  2. Step 2: Convert to fraction form
    2,161,359,074/5,097,085,205 = 5,097,085,205/x
  3. Step 3: Cross multiply
    2,161,359,074x = 5,097,085,205 × 5,097,085,205
  4. Step 4: Simplify right side
    2,161,359,074x = 25,980,277,587,029,893,120
  5. Step 5: Solve for x
    x = 25,980,277,587,029,893,120/2,161,359,074
  6. Step 6: Final answer
    x = 12,020,343,079.30

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.