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Finding the Third Proportional to 1,233,149,840 and 1,781,688,497

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Solution

The third proportional to 1,233,149,840 and 1,781,688,497 is: 2,574,232,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,149,840 : 1,781,688,497 = 1,781,688,497 : x
  2. Step 2: Convert to fraction form
    1,233,149,840/1,781,688,497 = 1,781,688,497/x
  3. Step 3: Cross multiply
    1,233,149,840x = 1,781,688,497 × 1,781,688,497
  4. Step 4: Simplify right side
    1,233,149,840x = 3,174,413,900,342,118,912
  5. Step 5: Solve for x
    x = 3,174,413,900,342,118,912/1,233,149,840
  6. Step 6: Final answer
    x = 2,574,232,098.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.