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Finding the Third Proportional to 10,596,502 and 23,591,252

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Solution

The third proportional to 10,596,502 and 23,591,252 is: 52,521,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,502 : 23,591,252 = 23,591,252 : x
  2. Step 2: Convert to fraction form
    10,596,502/23,591,252 = 23,591,252/x
  3. Step 3: Cross multiply
    10,596,502x = 23,591,252 × 23,591,252
  4. Step 4: Simplify right side
    10,596,502x = 556,547,170,927,504
  5. Step 5: Solve for x
    x = 556,547,170,927,504/10,596,502
  6. Step 6: Final answer
    x = 52,521,782.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.