Finding the Third Proportional to 2,183,135,919 and 4,748,779,824
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Solution
The third proportional to 2,183,135,919 and 4,748,779,824 is: 10,329,594,974.17
Step by Step Solution
- Step 1: Write the proportion equation
2,183,135,919 : 4,748,779,824 = 4,748,779,824 : x - Step 2: Convert to fraction form
2,183,135,919/4,748,779,824 = 4,748,779,824/x - Step 3: Cross multiply
2,183,135,919x = 4,748,779,824 × 4,748,779,824 - Step 4: Simplify right side
2,183,135,919x = 22,550,909,816,829,472,768 - Step 5: Solve for x
x = 22,550,909,816,829,472,768/2,183,135,919 - Step 6: Final answer
x = 10,329,594,974.17
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.