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Finding the Third Proportional to 142,047,812,532 and 309,101,762,208

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Solution

The third proportional to 142,047,812,532 and 309,101,762,208 is: 672,617,886,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,047,812,532 : 309,101,762,208 = 309,101,762,208 : x
  2. Step 2: Convert to fraction form
    142,047,812,532/309,101,762,208 = 309,101,762,208/x
  3. Step 3: Cross multiply
    142,047,812,532x = 309,101,762,208 × 309,101,762,208
  4. Step 4: Simplify right side
    142,047,812,532x = 95,543,899,400,090,974,945,280
  5. Step 5: Solve for x
    x = 95,543,899,400,090,974,945,280/142,047,812,532
  6. Step 6: Final answer
    x = 672,617,886,168.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.