Finding the Third Proportional to 502,349,547,276 and 772,147,270,674
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Solution
The third proportional to 502,349,547,276 and 772,147,270,674 is: 1,186,845,714,985.26
Step by Step Solution
- Step 1: Write the proportion equation
502,349,547,276 : 772,147,270,674 = 772,147,270,674 : x - Step 2: Convert to fraction form
502,349,547,276/772,147,270,674 = 772,147,270,674/x - Step 3: Cross multiply
502,349,547,276x = 772,147,270,674 × 772,147,270,674 - Step 4: Simplify right side
502,349,547,276x = 596,211,407,609,307,422,785,536 - Step 5: Solve for x
x = 596,211,407,609,307,422,785,536/502,349,547,276 - Step 6: Final answer
x = 1,186,845,714,985.26
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.