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Finding the Third Proportional to 779,830,852 and 1,712,725,496

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Solution

The third proportional to 779,830,852 and 1,712,725,496 is: 3,761,621,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,830,852 : 1,712,725,496 = 1,712,725,496 : x
  2. Step 2: Convert to fraction form
    779,830,852/1,712,725,496 = 1,712,725,496/x
  3. Step 3: Cross multiply
    779,830,852x = 1,712,725,496 × 1,712,725,496
  4. Step 4: Simplify right side
    779,830,852x = 2,933,428,624,648,445,952
  5. Step 5: Solve for x
    x = 2,933,428,624,648,445,952/779,830,852
  6. Step 6: Final answer
    x = 3,761,621,660.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.