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Finding the Third Proportional to 30,230,908,676 and 65,492,230,270

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Solution

The third proportional to 30,230,908,676 and 65,492,230,270 is: 141,882,345,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230,908,676 : 65,492,230,270 = 65,492,230,270 : x
  2. Step 2: Convert to fraction form
    30,230,908,676/65,492,230,270 = 65,492,230,270/x
  3. Step 3: Cross multiply
    30,230,908,676x = 65,492,230,270 × 65,492,230,270
  4. Step 4: Simplify right side
    30,230,908,676x = 4,289,232,225,738,704,289,792
  5. Step 5: Solve for x
    x = 4,289,232,225,738,704,289,792/30,230,908,676
  6. Step 6: Final answer
    x = 141,882,345,374.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.