Finding the Third Proportional to 470,852,224 and 1,013,665,032
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Solution
The third proportional to 470,852,224 and 1,013,665,032 is: 2,182,249,004.52
Step by Step Solution
- Step 1: Write the proportion equation
470,852,224 : 1,013,665,032 = 1,013,665,032 : x - Step 2: Convert to fraction form
470,852,224/1,013,665,032 = 1,013,665,032/x - Step 3: Cross multiply
470,852,224x = 1,013,665,032 × 1,013,665,032 - Step 4: Simplify right side
470,852,224x = 1,027,516,797,099,560,960 - Step 5: Solve for x
x = 1,027,516,797,099,560,960/470,852,224 - Step 6: Final answer
x = 2,182,249,004.52
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.