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Finding the Third Proportional to 1,180,652,240 and 2,583,713,470

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Solution

The third proportional to 1,180,652,240 and 2,583,713,470 is: 5,654,141,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,652,240 : 2,583,713,470 = 2,583,713,470 : x
  2. Step 2: Convert to fraction form
    1,180,652,240/2,583,713,470 = 2,583,713,470/x
  3. Step 3: Cross multiply
    1,180,652,240x = 2,583,713,470 × 2,583,713,470
  4. Step 4: Simplify right side
    1,180,652,240x = 6,675,575,295,059,440,640
  5. Step 5: Solve for x
    x = 6,675,575,295,059,440,640/1,180,652,240
  6. Step 6: Final answer
    x = 5,654,141,896.23

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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.