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Finding the Third Proportional to 1,180,652,175 and 2,583,713,340

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Solution

The third proportional to 1,180,652,175 and 2,583,713,340 is: 5,654,141,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,652,175 : 2,583,713,340 = 2,583,713,340 : x
  2. Step 2: Convert to fraction form
    1,180,652,175/2,583,713,340 = 2,583,713,340/x
  3. Step 3: Cross multiply
    1,180,652,175x = 2,583,713,340 × 2,583,713,340
  4. Step 4: Simplify right side
    1,180,652,175x = 6,675,574,623,293,956,096
  5. Step 5: Solve for x
    x = 6,675,574,623,293,956,096/1,180,652,175
  6. Step 6: Final answer
    x = 5,654,141,638.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.