Finding the Third Proportional to 5,696,854,573,514.10 and 7,686,394,307,780.10
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Solution
The third proportional to 5,696,854,573,514.10 and 7,686,394,307,780.10 is: 10,370,750,506,666.08
Step by Step Solution
- Step 1: Write the proportion equation
5,696,854,573,514.10 : 7,686,394,307,780.10 = 7,686,394,307,780.10 : x - Step 2: Convert to fraction form
5,696,854,573,514.10/7,686,394,307,780.10 = 7,686,394,307,780.10/x - Step 3: Cross multiply
5,696,854,573,514.10x = 7,686,394,307,780.10 × 7,686,394,307,780.10 - Step 4: Simplify right side
5,696,854,573,514.10x = 59,080,657,454,674,316,363,825,152 - Step 5: Solve for x
x = 59,080,657,454,674,316,363,825,152/5,696,854,573,514.10 - Step 6: Final answer
x = 10,370,750,506,666.08
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.