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Finding the Third Proportional to 142,047,812,574 and 309,101,762,326

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Solution

The third proportional to 142,047,812,574 and 309,101,762,326 is: 672,617,886,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,047,812,574 : 309,101,762,326 = 309,101,762,326 : x
  2. Step 2: Convert to fraction form
    142,047,812,574/309,101,762,326 = 309,101,762,326/x
  3. Step 3: Cross multiply
    142,047,812,574x = 309,101,762,326 × 309,101,762,326
  4. Step 4: Simplify right side
    142,047,812,574x = 95,543,899,473,038,997,979,136
  5. Step 5: Solve for x
    x = 95,543,899,473,038,997,979,136/142,047,812,574
  6. Step 6: Final answer
    x = 672,617,886,482.87

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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.