Finding the Third Proportional to 46,418,241,838,196 and 99,357,143,577,540
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Solution
The third proportional to 46,418,241,838,196 and 99,357,143,577,540 is: 212,671,604,717,365.50
Step by Step Solution
- Step 1: Write the proportion equation
46,418,241,838,196 : 99,357,143,577,540 = 99,357,143,577,540 : x - Step 2: Convert to fraction form
46,418,241,838,196/99,357,143,577,540 = 99,357,143,577,540/x - Step 3: Cross multiply
46,418,241,838,196x = 99,357,143,577,540 × 99,357,143,577,540 - Step 4: Simplify right side
46,418,241,838,196x = 9,871,841,979,887,897,745,442,209,792 - Step 5: Solve for x
x = 9,871,841,979,887,897,745,442,209,792/46,418,241,838,196 - Step 6: Final answer
x = 212,671,604,717,365.50
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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.