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Finding the Third Proportional to 47,852,556 and 71,761,264

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Solution

The third proportional to 47,852,556 and 71,761,264 is: 107,615,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,852,556 : 71,761,264 = 71,761,264 : x
  2. Step 2: Convert to fraction form
    47,852,556/71,761,264 = 71,761,264/x
  3. Step 3: Cross multiply
    47,852,556x = 71,761,264 × 71,761,264
  4. Step 4: Simplify right side
    47,852,556x = 5,149,679,010,877,696
  5. Step 5: Solve for x
    x = 5,149,679,010,877,696/47,852,556
  6. Step 6: Final answer
    x = 107,615,547.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.