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Finding the Third Proportional to 842,241,640 and 1,309,292,484

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Solution

The third proportional to 842,241,640 and 1,309,292,484 is: 2,035,338,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,241,640 : 1,309,292,484 = 1,309,292,484 : x
  2. Step 2: Convert to fraction form
    842,241,640/1,309,292,484 = 1,309,292,484/x
  3. Step 3: Cross multiply
    842,241,640x = 1,309,292,484 × 1,309,292,484
  4. Step 4: Simplify right side
    842,241,640x = 1,714,246,808,658,890,240
  5. Step 5: Solve for x
    x = 1,714,246,808,658,890,240/842,241,640
  6. Step 6: Final answer
    x = 2,035,338,467.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.