Finding the Third Proportional to 6,853,021,719,174 and 10,367,671,828,048
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Solution
The third proportional to 6,853,021,719,174 and 10,367,671,828,048 is: 15,684,850,207,516.32
Step by Step Solution
- Step 1: Write the proportion equation
6,853,021,719,174 : 10,367,671,828,048 = 10,367,671,828,048 : x - Step 2: Convert to fraction form
6,853,021,719,174/10,367,671,828,048 = 10,367,671,828,048/x - Step 3: Cross multiply
6,853,021,719,174x = 10,367,671,828,048 × 10,367,671,828,048 - Step 4: Simplify right side
6,853,021,719,174x = 107,488,619,134,100,164,363,419,648 - Step 5: Solve for x
x = 107,488,619,134,100,164,363,419,648/6,853,021,719,174 - Step 6: Final answer
x = 15,684,850,207,516.32
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.