Finding the Third Proportional to 450,602,254,928 and 954,926,817,656
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Solution
The third proportional to 450,602,254,928 and 954,926,817,656 is: 2,023,703,204,113.62
Step by Step Solution
- Step 1: Write the proportion equation
450,602,254,928 : 954,926,817,656 = 954,926,817,656 : x - Step 2: Convert to fraction form
450,602,254,928/954,926,817,656 = 954,926,817,656/x - Step 3: Cross multiply
450,602,254,928x = 954,926,817,656 × 954,926,817,656 - Step 4: Simplify right side
450,602,254,928x = 911,885,227,078,615,415,390,208 - Step 5: Solve for x
x = 911,885,227,078,615,415,390,208/450,602,254,928 - Step 6: Final answer
x = 2,023,703,204,113.62
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.