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Finding the Third Proportional to 83,974,529,970 and 185,065,743,588

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Solution

The third proportional to 83,974,529,970 and 185,065,743,588 is: 407,853,779,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974,529,970 : 185,065,743,588 = 185,065,743,588 : x
  2. Step 2: Convert to fraction form
    83,974,529,970/185,065,743,588 = 185,065,743,588/x
  3. Step 3: Cross multiply
    83,974,529,970x = 185,065,743,588 × 185,065,743,588
  4. Step 4: Simplify right side
    83,974,529,970x = 34,249,329,449,779,362,529,280
  5. Step 5: Solve for x
    x = 34,249,329,449,779,362,529,280/83,974,529,970
  6. Step 6: Final answer
    x = 407,853,779,735.53

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