Finding the Third Proportional to 5,334,775,799,260 and 7,197,865,129,432
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Solution
The third proportional to 5,334,775,799,260 and 7,197,865,129,432 is: 9,711,610,079,036.45
Step by Step Solution
- Step 1: Write the proportion equation
5,334,775,799,260 : 7,197,865,129,432 = 7,197,865,129,432 : x - Step 2: Convert to fraction form
5,334,775,799,260/7,197,865,129,432 = 7,197,865,129,432/x - Step 3: Cross multiply
5,334,775,799,260x = 7,197,865,129,432 × 7,197,865,129,432 - Step 4: Simplify right side
5,334,775,799,260x = 51,809,262,421,493,140,001,128,448 - Step 5: Solve for x
x = 51,809,262,421,493,140,001,128,448/5,334,775,799,260 - Step 6: Final answer
x = 9,711,610,079,036.45
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.