Finding the Third Proportional to 459,918,838,447.52 and 1,000,823,686,548
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Solution
The third proportional to 459,918,838,447.52 and 1,000,823,686,548 is: 2,177,880,025,390.23
Step by Step Solution
- Step 1: Write the proportion equation
459,918,838,447.52 : 1,000,823,686,548 = 1,000,823,686,548 : x - Step 2: Convert to fraction form
459,918,838,447.52/1,000,823,686,548 = 1,000,823,686,548/x - Step 3: Cross multiply
459,918,838,447.52x = 1,000,823,686,548 × 1,000,823,686,548 - Step 4: Simplify right side
459,918,838,447.52x = 1,001,648,051,555,529,318,727,680 - Step 5: Solve for x
x = 1,001,648,051,555,529,318,727,680/459,918,838,447.52 - Step 6: Final answer
x = 2,177,880,025,390.23
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.