Finding the Third Proportional to 415,268,688 and 896,195,664
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Solution
The third proportional to 415,268,688 and 896,195,664 is: 1,934,089,160.54
Step by Step Solution
- Step 1: Write the proportion equation
415,268,688 : 896,195,664 = 896,195,664 : x - Step 2: Convert to fraction form
415,268,688/896,195,664 = 896,195,664/x - Step 3: Cross multiply
415,268,688x = 896,195,664 × 896,195,664 - Step 4: Simplify right side
415,268,688x = 803,166,668,172,400,896 - Step 5: Solve for x
x = 803,166,668,172,400,896/415,268,688 - Step 6: Final answer
x = 1,934,089,160.54
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.