Finding the Third Proportional to 421,793,303,803 and 924,169,122,074
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Solution
The third proportional to 421,793,303,803 and 924,169,122,074 is: 2,024,898,353,042.45
Step by Step Solution
- Step 1: Write the proportion equation
421,793,303,803 : 924,169,122,074 = 924,169,122,074 : x - Step 2: Convert to fraction form
421,793,303,803/924,169,122,074 = 924,169,122,074/x - Step 3: Cross multiply
421,793,303,803x = 924,169,122,074 × 924,169,122,074 - Step 4: Simplify right side
421,793,303,803x = 854,088,566,195,027,972,194,304 - Step 5: Solve for x
x = 854,088,566,195,027,972,194,304/421,793,303,803 - Step 6: Final answer
x = 2,024,898,353,042.45
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.