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Finding the Third Proportional to 1,927,358,089 and 2,600,458,574

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Solution

The third proportional to 1,927,358,089 and 2,600,458,574 is: 3,508,629,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,358,089 : 2,600,458,574 = 2,600,458,574 : x
  2. Step 2: Convert to fraction form
    1,927,358,089/2,600,458,574 = 2,600,458,574/x
  3. Step 3: Cross multiply
    1,927,358,089x = 2,600,458,574 × 2,600,458,574
  4. Step 4: Simplify right side
    1,927,358,089x = 6,762,384,795,090,113,536
  5. Step 5: Solve for x
    x = 6,762,384,795,090,113,536/1,927,358,089
  6. Step 6: Final answer
    x = 3,508,629,161.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.