Finding the Third Proportional to 74,275,267,878 and 160,884,031,218.75
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Solution
The third proportional to 74,275,267,878 and 160,884,031,218.75 is: 348,483,044,769.50
Step by Step Solution
- Step 1: Write the proportion equation
74,275,267,878 : 160,884,031,218.75 = 160,884,031,218.75 : x - Step 2: Convert to fraction form
74,275,267,878/160,884,031,218.75 = 160,884,031,218.75/x - Step 3: Cross multiply
74,275,267,878x = 160,884,031,218.75 × 160,884,031,218.75 - Step 4: Simplify right side
74,275,267,878x = 25,883,671,501,195,725,242,368 - Step 5: Solve for x
x = 25,883,671,501,195,725,242,368/74,275,267,878 - Step 6: Final answer
x = 348,483,044,769.50
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.