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Finding the Third Proportional to 142,047,812,534 and 309,101,762,212

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Solution

The third proportional to 142,047,812,534 and 309,101,762,212 is: 672,617,886,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,047,812,534 : 309,101,762,212 = 309,101,762,212 : x
  2. Step 2: Convert to fraction form
    142,047,812,534/309,101,762,212 = 309,101,762,212/x
  3. Step 3: Cross multiply
    142,047,812,534x = 309,101,762,212 × 309,101,762,212
  4. Step 4: Simplify right side
    142,047,812,534x = 95,543,899,402,563,785,588,736
  5. Step 5: Solve for x
    x = 95,543,899,402,563,785,588,736/142,047,812,534
  6. Step 6: Final answer
    x = 672,617,886,176.14

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