Finding the Third Proportional to 447,073,756,262 and 975,063,157,359
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Solution
The third proportional to 447,073,756,262 and 975,063,157,359 is: 2,126,602,484,538.89
Step by Step Solution
- Step 1: Write the proportion equation
447,073,756,262 : 975,063,157,359 = 975,063,157,359 : x - Step 2: Convert to fraction form
447,073,756,262/975,063,157,359 = 975,063,157,359/x - Step 3: Cross multiply
447,073,756,262x = 975,063,157,359 × 975,063,157,359 - Step 4: Simplify right side
447,073,756,262x = 950,748,160,838,901,971,288,064 - Step 5: Solve for x
x = 950,748,160,838,901,971,288,064/447,073,756,262 - Step 6: Final answer
x = 2,126,602,484,538.89
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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.