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Finding the Third Proportional to 8,547,484,760 and 18,566,370,478

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Solution

The third proportional to 8,547,484,760 and 18,566,370,478 is: 40,328,836,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547,484,760 : 18,566,370,478 = 18,566,370,478 : x
  2. Step 2: Convert to fraction form
    8,547,484,760/18,566,370,478 = 18,566,370,478/x
  3. Step 3: Cross multiply
    8,547,484,760x = 18,566,370,478 × 18,566,370,478
  4. Step 4: Simplify right side
    8,547,484,760x = 344,710,112,726,349,971,456
  5. Step 5: Solve for x
    x = 344,710,112,726,349,971,456/8,547,484,760
  6. Step 6: Final answer
    x = 40,328,836,190.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.