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Finding the Third Proportional to 431,072,897.63 and 943,755,152.63

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Solution

The third proportional to 431,072,897.63 and 943,755,152.63 is: 2,066,179,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,072,897.63 : 943,755,152.63 = 943,755,152.63 : x
  2. Step 2: Convert to fraction form
    431,072,897.63/943,755,152.63 = 943,755,152.63/x
  3. Step 3: Cross multiply
    431,072,897.63x = 943,755,152.63 × 943,755,152.63
  4. Step 4: Simplify right side
    431,072,897.63x = 890,673,788,106,237,056
  5. Step 5: Solve for x
    x = 890,673,788,106,237,056/431,072,897.63
  6. Step 6: Final answer
    x = 2,066,179,045.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.