Finding the Third Proportional to 69,413,712,329 and 97,749,802,943
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Solution
The third proportional to 69,413,712,329 and 97,749,802,943 is: 137,653,262,659.51
Step by Step Solution
- Step 1: Write the proportion equation
69,413,712,329 : 97,749,802,943 = 97,749,802,943 : x - Step 2: Convert to fraction form
69,413,712,329/97,749,802,943 = 97,749,802,943/x - Step 3: Cross multiply
69,413,712,329x = 97,749,802,943 × 97,749,802,943 - Step 4: Simplify right side
69,413,712,329x = 9,555,023,975,395,331,407,872 - Step 5: Solve for x
x = 9,555,023,975,395,331,407,872/69,413,712,329 - Step 6: Final answer
x = 137,653,262,659.51
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.