Finding the Third Proportional to 519,434,271,941 and 1,117,041,615,664
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Solution
The third proportional to 519,434,271,941 and 1,117,041,615,664 is: 2,402,194,153,386.49
Step by Step Solution
- Step 1: Write the proportion equation
519,434,271,941 : 1,117,041,615,664 = 1,117,041,615,664 : x - Step 2: Convert to fraction form
519,434,271,941/1,117,041,615,664 = 1,117,041,615,664/x - Step 3: Cross multiply
519,434,271,941x = 1,117,041,615,664 × 1,117,041,615,664 - Step 4: Simplify right side
519,434,271,941x = 1,247,781,971,125,239,529,078,784 - Step 5: Solve for x
x = 1,247,781,971,125,239,529,078,784/519,434,271,941 - Step 6: Final answer
x = 2,402,194,153,386.49
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.