Finding the Third Proportional to 9,865,499,006 and 23,020,293,177.50
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Solution
The third proportional to 9,865,499,006 and 23,020,293,177.50 is: 53,715,873,637.59
Step by Step Solution
- Step 1: Write the proportion equation
9,865,499,006 : 23,020,293,177.50 = 23,020,293,177.50 : x - Step 2: Convert to fraction form
9,865,499,006/23,020,293,177.50 = 23,020,293,177.50/x - Step 3: Cross multiply
9,865,499,006x = 23,020,293,177.50 × 23,020,293,177.50 - Step 4: Simplify right side
9,865,499,006x = 529,933,897,978,053,066,752 - Step 5: Solve for x
x = 529,933,897,978,053,066,752/9,865,499,006 - Step 6: Final answer
x = 53,715,873,637.59
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.