Finding the Third Proportional to 42,074,176,027,092 and 90,480,370,868,496
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Solution
The third proportional to 42,074,176,027,092 and 90,480,370,868,496 is: 194,577,726,423,663.75
Step by Step Solution
- Step 1: Write the proportion equation
42,074,176,027,092 : 90,480,370,868,496 = 90,480,370,868,496 : x - Step 2: Convert to fraction form
42,074,176,027,092/90,480,370,868,496 = 90,480,370,868,496/x - Step 3: Cross multiply
42,074,176,027,092x = 90,480,370,868,496 × 90,480,370,868,496 - Step 4: Simplify right side
42,074,176,027,092x = 8,186,697,512,500,579,502,903,001,088 - Step 5: Solve for x
x = 8,186,697,512,500,579,502,903,001,088/42,074,176,027,092 - Step 6: Final answer
x = 194,577,726,423,663.75
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.