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Finding the Third Proportional to 1,635,157,473 and 3,586,884,955

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Solution

The third proportional to 1,635,157,473 and 3,586,884,955 is: 7,868,198,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,157,473 : 3,586,884,955 = 3,586,884,955 : x
  2. Step 2: Convert to fraction form
    1,635,157,473/3,586,884,955 = 3,586,884,955/x
  3. Step 3: Cross multiply
    1,635,157,473x = 3,586,884,955 × 3,586,884,955
  4. Step 4: Simplify right side
    1,635,157,473x = 12,865,743,680,405,352,448
  5. Step 5: Solve for x
    x = 12,865,743,680,405,352,448/1,635,157,473
  6. Step 6: Final answer
    x = 7,868,198,563.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.