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Finding the Third Proportional to 33,547,470 and 73,375,989

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Solution

The third proportional to 33,547,470 and 73,375,989 is: 160,490,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547,470 : 73,375,989 = 73,375,989 : x
  2. Step 2: Convert to fraction form
    33,547,470/73,375,989 = 73,375,989/x
  3. Step 3: Cross multiply
    33,547,470x = 73,375,989 × 73,375,989
  4. Step 4: Simplify right side
    33,547,470x = 5,384,035,761,728,121
  5. Step 5: Solve for x
    x = 5,384,035,761,728,121/33,547,470
  6. Step 6: Final answer
    x = 160,490,068.60

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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.