Finding the Third Proportional to 322,348,909,506 and 689,980,179,621
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Solution
The third proportional to 322,348,909,506 and 689,980,179,621 is: 1,476,886,175,912.33
Step by Step Solution
- Step 1: Write the proportion equation
322,348,909,506 : 689,980,179,621 = 689,980,179,621 : x - Step 2: Convert to fraction form
322,348,909,506/689,980,179,621 = 689,980,179,621/x - Step 3: Cross multiply
322,348,909,506x = 689,980,179,621 × 689,980,179,621 - Step 4: Simplify right side
322,348,909,506x = 476,072,648,269,827,426,746,368 - Step 5: Solve for x
x = 476,072,648,269,827,426,746,368/322,348,909,506 - Step 6: Final answer
x = 1,476,886,175,912.33
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.