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Finding the Third Proportional to 377,543,644,292 and 808,938,680,584

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Solution

The third proportional to 377,543,644,292 and 808,938,680,584 is: 1,733,261,303,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,543,644,292 : 808,938,680,584 = 808,938,680,584 : x
  2. Step 2: Convert to fraction form
    377,543,644,292/808,938,680,584 = 808,938,680,584/x
  3. Step 3: Cross multiply
    377,543,644,292x = 808,938,680,584 × 808,938,680,584
  4. Step 4: Simplify right side
    377,543,644,292x = 654,381,788,944,982,737,944,576
  5. Step 5: Solve for x
    x = 654,381,788,944,982,737,944,576/377,543,644,292
  6. Step 6: Final answer
    x = 1,733,261,303,265.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.