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Finding the Third Proportional to 20,022,026,988 and 30,290,730,264

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Solution

The third proportional to 20,022,026,988 and 30,290,730,264 is: 45,825,946,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022,026,988 : 30,290,730,264 = 30,290,730,264 : x
  2. Step 2: Convert to fraction form
    20,022,026,988/30,290,730,264 = 30,290,730,264/x
  3. Step 3: Cross multiply
    20,022,026,988x = 30,290,730,264 × 30,290,730,264
  4. Step 4: Simplify right side
    20,022,026,988x = 917,528,339,926,405,480,448
  5. Step 5: Solve for x
    x = 917,528,339,926,405,480,448/20,022,026,988
  6. Step 6: Final answer
    x = 45,825,946,617.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.