Finding the Third Proportional to 520,013,637,300 and 1,054,648,875,714
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Solution
The third proportional to 520,013,637,300 and 1,054,648,875,714 is: 2,138,952,079,833.86
Step by Step Solution
- Step 1: Write the proportion equation
520,013,637,300 : 1,054,648,875,714 = 1,054,648,875,714 : x - Step 2: Convert to fraction form
520,013,637,300/1,054,648,875,714 = 1,054,648,875,714/x - Step 3: Cross multiply
520,013,637,300x = 1,054,648,875,714 × 1,054,648,875,714 - Step 4: Simplify right side
520,013,637,300x = 1,112,284,251,044,804,284,121,088 - Step 5: Solve for x
x = 1,112,284,251,044,804,284,121,088/520,013,637,300 - Step 6: Final answer
x = 2,138,952,079,833.86
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.