Finding the Third Proportional to 69,413,712,426 and 97,749,803,061
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Solution
The third proportional to 69,413,712,426 and 97,749,803,061 is: 137,653,262,799.49
Step by Step Solution
- Step 1: Write the proportion equation
69,413,712,426 : 97,749,803,061 = 97,749,803,061 : x - Step 2: Convert to fraction form
69,413,712,426/97,749,803,061 = 97,749,803,061/x - Step 3: Cross multiply
69,413,712,426x = 97,749,803,061 × 97,749,803,061 - Step 4: Simplify right side
69,413,712,426x = 9,555,023,998,464,284,426,240 - Step 5: Solve for x
x = 9,555,023,998,464,284,426,240/69,413,712,426 - Step 6: Final answer
x = 137,653,262,799.49
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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.