Finding the Third Proportional to 562,652,135,083.14 and 759,149,837,876.24
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Solution
The third proportional to 562,652,135,083.14 and 759,149,837,876.24 is: 1,024,271,375,531.82
Step by Step Solution
- Step 1: Write the proportion equation
562,652,135,083.14 : 759,149,837,876.24 = 759,149,837,876.24 : x - Step 2: Convert to fraction form
562,652,135,083.14/759,149,837,876.24 = 759,149,837,876.24/x - Step 3: Cross multiply
562,652,135,083.14x = 759,149,837,876.24 × 759,149,837,876.24 - Step 4: Simplify right side
562,652,135,083.14x = 576,308,476,347,521,483,931,648 - Step 5: Solve for x
x = 576,308,476,347,521,483,931,648/562,652,135,083.14 - Step 6: Final answer
x = 1,024,271,375,531.82
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.