Finding the Third Proportional to 45,269,506,048,252 and 98,470,697,637,822
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Solution
The third proportional to 45,269,506,048,252 and 98,470,697,637,822 is: 214,194,479,677,866.41
Step by Step Solution
- Step 1: Write the proportion equation
45,269,506,048,252 : 98,470,697,637,822 = 98,470,697,637,822 : x - Step 2: Convert to fraction form
45,269,506,048,252/98,470,697,637,822 = 98,470,697,637,822/x - Step 3: Cross multiply
45,269,506,048,252x = 98,470,697,637,822 × 98,470,697,637,822 - Step 4: Simplify right side
45,269,506,048,252x = 9,696,478,293,279,363,613,130,227,712 - Step 5: Solve for x
x = 9,696,478,293,279,363,613,130,227,712/45,269,506,048,252 - Step 6: Final answer
x = 214,194,479,677,866.41
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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.