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Finding the Third Proportional to 10,225,623.50 and 21,868,412.50

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Solution

The third proportional to 10,225,623.50 and 21,868,412.50 is: 46,767,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225,623.50 : 21,868,412.50 = 21,868,412.50 : x
  2. Step 2: Convert to fraction form
    10,225,623.50/21,868,412.50 = 21,868,412.50/x
  3. Step 3: Cross multiply
    10,225,623.50x = 21,868,412.50 × 21,868,412.50
  4. Step 4: Simplify right side
    10,225,623.50x = 478,227,465,270,156.25
  5. Step 5: Solve for x
    x = 478,227,465,270,156.25/10,225,623.50
  6. Step 6: Final answer
    x = 46,767,560.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.