Finding the Third Proportional to 779,907,851,622 and 1,698,272,358,300
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Solution
The third proportional to 779,907,851,622 and 1,698,272,358,300 is: 3,698,038,168,185.67
Step by Step Solution
- Step 1: Write the proportion equation
779,907,851,622 : 1,698,272,358,300 = 1,698,272,358,300 : x - Step 2: Convert to fraction form
779,907,851,622/1,698,272,358,300 = 1,698,272,358,300/x - Step 3: Cross multiply
779,907,851,622x = 1,698,272,358,300 × 1,698,272,358,300 - Step 4: Simplify right side
779,907,851,622x = 2,884,129,002,965,843,564,298,240 - Step 5: Solve for x
x = 2,884,129,002,965,843,564,298,240/779,907,851,622 - Step 6: Final answer
x = 3,698,038,168,185.67
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.