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Finding the Third Proportional to 249,914,947,992 and 380,719,601,632

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Solution

The third proportional to 249,914,947,992 and 380,719,601,632 is: 579,986,976,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,914,947,992 : 380,719,601,632 = 380,719,601,632 : x
  2. Step 2: Convert to fraction form
    249,914,947,992/380,719,601,632 = 380,719,601,632/x
  3. Step 3: Cross multiply
    249,914,947,992x = 380,719,601,632 × 380,719,601,632
  4. Step 4: Simplify right side
    249,914,947,992x = 144,947,415,066,828,773,261,312
  5. Step 5: Solve for x
    x = 144,947,415,066,828,773,261,312/249,914,947,992
  6. Step 6: Final answer
    x = 579,986,976,495.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.