Finding the Third Proportional to 499,733,953,860 and 761,310,111,298
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Solution
The third proportional to 499,733,953,860 and 761,310,111,298 is: 1,159,803,293,507.94
Step by Step Solution
- Step 1: Write the proportion equation
499,733,953,860 : 761,310,111,298 = 761,310,111,298 : x - Step 2: Convert to fraction form
499,733,953,860/761,310,111,298 = 761,310,111,298/x - Step 3: Cross multiply
499,733,953,860x = 761,310,111,298 × 761,310,111,298 - Step 4: Simplify right side
499,733,953,860x = 579,593,085,564,573,175,513,088 - Step 5: Solve for x
x = 579,593,085,564,573,175,513,088/499,733,953,860 - Step 6: Final answer
x = 1,159,803,293,507.94
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.