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Finding the Third Proportional to 60,440,420,284 and 129,371,283,157

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Solution

The third proportional to 60,440,420,284 and 129,371,283,157 is: 276,916,156,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,440,420,284 : 129,371,283,157 = 129,371,283,157 : x
  2. Step 2: Convert to fraction form
    60,440,420,284/129,371,283,157 = 129,371,283,157/x
  3. Step 3: Cross multiply
    60,440,420,284x = 129,371,283,157 × 129,371,283,157
  4. Step 4: Simplify right side
    60,440,420,284x = 16,736,928,905,688,671,846,400
  5. Step 5: Solve for x
    x = 16,736,928,905,688,671,846,400/60,440,420,284
  6. Step 6: Final answer
    x = 276,916,156,887.14

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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.