Finding the Third Proportional to 956,522,433,356 and 2,108,014,606,708
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Solution
The third proportional to 956,522,433,356 and 2,108,014,606,708 is: 4,645,709,736,783.99
Step by Step Solution
- Step 1: Write the proportion equation
956,522,433,356 : 2,108,014,606,708 = 2,108,014,606,708 : x - Step 2: Convert to fraction form
956,522,433,356/2,108,014,606,708 = 2,108,014,606,708/x - Step 3: Cross multiply
956,522,433,356x = 2,108,014,606,708 × 2,108,014,606,708 - Step 4: Simplify right side
956,522,433,356x = 4,443,725,582,094,283,988,533,248 - Step 5: Solve for x
x = 4,443,725,582,094,283,988,533,248/956,522,433,356 - Step 6: Final answer
x = 4,645,709,736,783.99
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.