Finding the Third Proportional to 530,801,980,444 and 1,169,798,307,416
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Solution
The third proportional to 530,801,980,444 and 1,169,798,307,416 is: 2,578,038,761,062.44
Step by Step Solution
- Step 1: Write the proportion equation
530,801,980,444 : 1,169,798,307,416 = 1,169,798,307,416 : x - Step 2: Convert to fraction form
530,801,980,444/1,169,798,307,416 = 1,169,798,307,416/x - Step 3: Cross multiply
530,801,980,444x = 1,169,798,307,416 × 1,169,798,307,416 - Step 4: Simplify right side
530,801,980,444x = 1,368,428,080,033,338,337,787,904 - Step 5: Solve for x
x = 1,368,428,080,033,338,337,787,904/530,801,980,444 - Step 6: Final answer
x = 2,578,038,761,062.44
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.