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Finding the Third Proportional to 21,663,724 and 46,712,924

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Solution

The third proportional to 21,663,724 and 46,712,924 is: 100,725,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663,724 : 46,712,924 = 46,712,924 : x
  2. Step 2: Convert to fraction form
    21,663,724/46,712,924 = 46,712,924/x
  3. Step 3: Cross multiply
    21,663,724x = 46,712,924 × 46,712,924
  4. Step 4: Simplify right side
    21,663,724x = 2,182,097,268,629,776
  5. Step 5: Solve for x
    x = 2,182,097,268,629,776/21,663,724
  6. Step 6: Final answer
    x = 100,725,861.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.