Finding the Third Proportional to 45,918,432,025 and 71,295,243,303
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Solution
The third proportional to 45,918,432,025 and 71,295,243,303 is: 110,696,543,707.47
Step by Step Solution
- Step 1: Write the proportion equation
45,918,432,025 : 71,295,243,303 = 71,295,243,303 : x - Step 2: Convert to fraction form
45,918,432,025/71,295,243,303 = 71,295,243,303/x - Step 3: Cross multiply
45,918,432,025x = 71,295,243,303 × 71,295,243,303 - Step 4: Simplify right side
45,918,432,025x = 5,083,011,717,633,966,866,432 - Step 5: Solve for x
x = 5,083,011,717,633,966,866,432/45,918,432,025 - Step 6: Final answer
x = 110,696,543,707.47
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.