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Finding the Third Proportional to 10,343,897.05 and 21,948,669.03

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Solution

The third proportional to 10,343,897.05 and 21,948,669.03 is: 46,572,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343,897.05 : 21,948,669.03 = 21,948,669.03 : x
  2. Step 2: Convert to fraction form
    10,343,897.05/21,948,669.03 = 21,948,669.03/x
  3. Step 3: Cross multiply
    10,343,897.05x = 21,948,669.03 × 21,948,669.03
  4. Step 4: Simplify right side
    10,343,897.05x = 481,744,072,243,352.81
  5. Step 5: Solve for x
    x = 481,744,072,243,352.81/10,343,897.05
  6. Step 6: Final answer
    x = 46,572,782.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.