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Finding the Third Proportional to 1,663,557,804 and 2,378,723,139

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Solution

The third proportional to 1,663,557,804 and 2,378,723,139 is: 3,401,338,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,557,804 : 2,378,723,139 = 2,378,723,139 : x
  2. Step 2: Convert to fraction form
    1,663,557,804/2,378,723,139 = 2,378,723,139/x
  3. Step 3: Cross multiply
    1,663,557,804x = 2,378,723,139 × 2,378,723,139
  4. Step 4: Simplify right side
    1,663,557,804x = 5,658,323,772,014,013,440
  5. Step 5: Solve for x
    x = 5,658,323,772,014,013,440/1,663,557,804
  6. Step 6: Final answer
    x = 3,401,338,840.41

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