Finding the Third Proportional to 142,122,452,706 and 316,021,456,732
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Solution
The third proportional to 142,122,452,706 and 316,021,456,732 is: 702,700,799,300.23
Step by Step Solution
- Step 1: Write the proportion equation
142,122,452,706 : 316,021,456,732 = 316,021,456,732 : x - Step 2: Convert to fraction form
142,122,452,706/316,021,456,732 = 316,021,456,732/x - Step 3: Cross multiply
142,122,452,706x = 316,021,456,732 × 316,021,456,732 - Step 4: Simplify right side
142,122,452,706x = 99,869,561,115,015,343,243,264 - Step 5: Solve for x
x = 99,869,561,115,015,343,243,264/142,122,452,706 - Step 6: Final answer
x = 702,700,799,300.23
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.