Finding the Third Proportional to 570,543,174,801 and 1,243,602,071,307
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Solution
The third proportional to 570,543,174,801 and 1,243,602,071,307 is: 2,710,655,705,062.95
Step by Step Solution
- Step 1: Write the proportion equation
570,543,174,801 : 1,243,602,071,307 = 1,243,602,071,307 : x - Step 2: Convert to fraction form
570,543,174,801/1,243,602,071,307 = 1,243,602,071,307/x - Step 3: Cross multiply
570,543,174,801x = 1,243,602,071,307 × 1,243,602,071,307 - Step 4: Simplify right side
570,543,174,801x = 1,546,546,111,759,060,717,010,944 - Step 5: Solve for x
x = 1,546,546,111,759,060,717,010,944/570,543,174,801 - Step 6: Final answer
x = 2,710,655,705,062.95
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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.