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Finding the Third Proportional to 1,895,252,543.50 and 4,053,404,106

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Solution

The third proportional to 1,895,252,543.50 and 4,053,404,106 is: 8,669,074,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895,252,543.50 : 4,053,404,106 = 4,053,404,106 : x
  2. Step 2: Convert to fraction form
    1,895,252,543.50/4,053,404,106 = 4,053,404,106/x
  3. Step 3: Cross multiply
    1,895,252,543.50x = 4,053,404,106 × 4,053,404,106
  4. Step 4: Simplify right side
    1,895,252,543.50x = 16,430,084,846,537,658,368
  5. Step 5: Solve for x
    x = 16,430,084,846,537,658,368/1,895,252,543.50
  6. Step 6: Final answer
    x = 8,669,074,157.37

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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.