Finding the Third Proportional to 22,634,753,024,128 and 49,235,348,818,915
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Solution
The third proportional to 22,634,753,024,128 and 49,235,348,818,915 is: 107,097,239,838,941.14
Step by Step Solution
- Step 1: Write the proportion equation
22,634,753,024,128 : 49,235,348,818,915 = 49,235,348,818,915 : x - Step 2: Convert to fraction form
22,634,753,024,128/49,235,348,818,915 = 49,235,348,818,915/x - Step 3: Cross multiply
22,634,753,024,128x = 49,235,348,818,915 × 49,235,348,818,915 - Step 4: Simplify right side
22,634,753,024,128x = 2,424,119,573,320,234,803,323,207,680 - Step 5: Solve for x
x = 2,424,119,573,320,234,803,323,207,680/22,634,753,024,128 - Step 6: Final answer
x = 107,097,239,838,941.14
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.