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Finding the Third Proportional to 60,389,879,406 and 90,061,125,112

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Solution

The third proportional to 60,389,879,406 and 90,061,125,112 is: 134,310,688,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,389,879,406 : 90,061,125,112 = 90,061,125,112 : x
  2. Step 2: Convert to fraction form
    60,389,879,406/90,061,125,112 = 90,061,125,112/x
  3. Step 3: Cross multiply
    60,389,879,406x = 90,061,125,112 × 90,061,125,112
  4. Step 4: Simplify right side
    60,389,879,406x = 8,111,006,256,439,317,495,808
  5. Step 5: Solve for x
    x = 8,111,006,256,439,317,495,808/60,389,879,406
  6. Step 6: Final answer
    x = 134,310,688,085.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.