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Finding the Third Proportional to 832,781,761 and 1,293,648,643

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Solution

The third proportional to 832,781,761 and 1,293,648,643 is: 2,009,562,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,781,761 : 1,293,648,643 = 1,293,648,643 : x
  2. Step 2: Convert to fraction form
    832,781,761/1,293,648,643 = 1,293,648,643/x
  3. Step 3: Cross multiply
    832,781,761x = 1,293,648,643 × 1,293,648,643
  4. Step 4: Simplify right side
    832,781,761x = 1,673,526,811,535,741,440
  5. Step 5: Solve for x
    x = 1,673,526,811,535,741,440/832,781,761
  6. Step 6: Final answer
    x = 2,009,562,276.59

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Why These Related Problems?

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