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Finding the Third Proportional to 10,866,924 and 14,706,057

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Solution

The third proportional to 10,866,924 and 14,706,057 is: 19,901,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866,924 : 14,706,057 = 14,706,057 : x
  2. Step 2: Convert to fraction form
    10,866,924/14,706,057 = 14,706,057/x
  3. Step 3: Cross multiply
    10,866,924x = 14,706,057 × 14,706,057
  4. Step 4: Simplify right side
    10,866,924x = 216,268,112,487,249
  5. Step 5: Solve for x
    x = 216,268,112,487,249/10,866,924
  6. Step 6: Final answer
    x = 19,901,502.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.