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Finding the Third Proportional to 13,835,957,706,792 and 29,754,179,471,840

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Solution

The third proportional to 13,835,957,706,792 and 29,754,179,471,840 is: 63,986,260,640,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835,957,706,792 : 29,754,179,471,840 = 29,754,179,471,840 : x
  2. Step 2: Convert to fraction form
    13,835,957,706,792/29,754,179,471,840 = 29,754,179,471,840/x
  3. Step 3: Cross multiply
    13,835,957,706,792x = 29,754,179,471,840 × 29,754,179,471,840
  4. Step 4: Simplify right side
    13,835,957,706,792x = 885,311,196,042,464,877,688,651,776
  5. Step 5: Solve for x
    x = 885,311,196,042,464,877,688,651,776/13,835,957,706,792
  6. Step 6: Final answer
    x = 63,986,260,640,842.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.