Finding the Third Proportional to 493,942,076 and 975,392,008
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Solution
The third proportional to 493,942,076 and 975,392,008 is: 1,926,115,663.15
Step by Step Solution
- Step 1: Write the proportion equation
493,942,076 : 975,392,008 = 975,392,008 : x - Step 2: Convert to fraction form
493,942,076/975,392,008 = 975,392,008/x - Step 3: Cross multiply
493,942,076x = 975,392,008 × 975,392,008 - Step 4: Simplify right side
493,942,076x = 951,389,569,270,272,000 - Step 5: Solve for x
x = 951,389,569,270,272,000/493,942,076 - Step 6: Final answer
x = 1,926,115,663.15
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.