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