Finding the Third Proportional to 493,608,621,172 and 695,109,710,044
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Solution
The third proportional to 493,608,621,172 and 695,109,710,044 is: 978,867,645,889.61
Step by Step Solution
- Step 1: Write the proportion equation
493,608,621,172 : 695,109,710,044 = 695,109,710,044 : x - Step 2: Convert to fraction form
493,608,621,172/695,109,710,044 = 695,109,710,044/x - Step 3: Cross multiply
493,608,621,172x = 695,109,710,044 × 695,109,710,044 - Step 4: Simplify right side
493,608,621,172x = 483,177,508,997,453,777,469,440 - Step 5: Solve for x
x = 483,177,508,997,453,777,469,440/493,608,621,172 - Step 6: Final answer
x = 978,867,645,889.61
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.