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Finding the Third Proportional to 30,452,909,702 and 46,554,645,694

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Solution

The third proportional to 30,452,909,702 and 46,554,645,694 is: 71,170,047,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452,909,702 : 46,554,645,694 = 46,554,645,694 : x
  2. Step 2: Convert to fraction form
    30,452,909,702/46,554,645,694 = 46,554,645,694/x
  3. Step 3: Cross multiply
    30,452,909,702x = 46,554,645,694 × 46,554,645,694
  4. Step 4: Simplify right side
    30,452,909,702x = 2,167,335,035,693,872,709,632
  5. Step 5: Solve for x
    x = 2,167,335,035,693,872,709,632/30,452,909,702
  6. Step 6: Final answer
    x = 71,170,047,686.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.