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Finding the Third Proportional to 4,635,522 and 6,819,264

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Solution

The third proportional to 4,635,522 and 6,819,264 is: 10,031,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635,522 : 6,819,264 = 6,819,264 : x
  2. Step 2: Convert to fraction form
    4,635,522/6,819,264 = 6,819,264/x
  3. Step 3: Cross multiply
    4,635,522x = 6,819,264 × 6,819,264
  4. Step 4: Simplify right side
    4,635,522x = 46,502,361,501,696
  5. Step 5: Solve for x
    x = 46,502,361,501,696/4,635,522
  6. Step 6: Final answer
    x = 10,031,742.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.