Finding the Third Proportional to 570,293,478,850 and 1,208,579,253,519.50
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Solution
The third proportional to 570,293,478,850 and 1,208,579,253,519.50 is: 2,561,249,367,576.83
Step by Step Solution
- Step 1: Write the proportion equation
570,293,478,850 : 1,208,579,253,519.50 = 1,208,579,253,519.50 : x - Step 2: Convert to fraction form
570,293,478,850/1,208,579,253,519.50 = 1,208,579,253,519.50/x - Step 3: Cross multiply
570,293,478,850x = 1,208,579,253,519.50 × 1,208,579,253,519.50 - Step 4: Simplify right side
570,293,478,850x = 1,460,663,812,037,751,921,967,104 - Step 5: Solve for x
x = 1,460,663,812,037,751,921,967,104/570,293,478,850 - Step 6: Final answer
x = 2,561,249,367,576.83
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.