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Finding the Third Proportional to 433,048,751,136 and 901,735,582,680

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Solution

The third proportional to 433,048,751,136 and 901,735,582,680 is: 1,877,680,189,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,048,751,136 : 901,735,582,680 = 901,735,582,680 : x
  2. Step 2: Convert to fraction form
    433,048,751,136/901,735,582,680 = 901,735,582,680/x
  3. Step 3: Cross multiply
    433,048,751,136x = 901,735,582,680 × 901,735,582,680
  4. Step 4: Simplify right side
    433,048,751,136x = 813,127,061,071,239,145,586,688
  5. Step 5: Solve for x
    x = 813,127,061,071,239,145,586,688/433,048,751,136
  6. Step 6: Final answer
    x = 1,877,680,189,443.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.