Finding the Third Proportional to 399,064,369,409 and 826,415,817,534
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Solution
The third proportional to 399,064,369,409 and 826,415,817,534 is: 1,711,410,879,607.80
Step by Step Solution
- Step 1: Write the proportion equation
399,064,369,409 : 826,415,817,534 = 826,415,817,534 : x - Step 2: Convert to fraction form
399,064,369,409/826,415,817,534 = 826,415,817,534/x - Step 3: Cross multiply
399,064,369,409x = 826,415,817,534 × 826,415,817,534 - Step 4: Simplify right side
399,064,369,409x = 682,963,103,470,389,527,838,720 - Step 5: Solve for x
x = 682,963,103,470,389,527,838,720/399,064,369,409 - Step 6: Final answer
x = 1,711,410,879,607.80
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.