Finding the Third Proportional to 1,032,942,256 and 2,213,247,289
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Solution
The third proportional to 1,032,942,256 and 2,213,247,289 is: 4,742,243,367.25
Step by Step Solution
- Step 1: Write the proportion equation
1,032,942,256 : 2,213,247,289 = 2,213,247,289 : x - Step 2: Convert to fraction form
1,032,942,256/2,213,247,289 = 2,213,247,289/x - Step 3: Cross multiply
1,032,942,256x = 2,213,247,289 × 2,213,247,289 - Step 4: Simplify right side
1,032,942,256x = 4,898,463,562,265,849,856 - Step 5: Solve for x
x = 4,898,463,562,265,849,856/1,032,942,256 - Step 6: Final answer
x = 4,742,243,367.25
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.