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Finding the Third Proportional to 559,548,023,841 and 859,534,207,065

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Solution

The third proportional to 559,548,023,841 and 859,534,207,065 is: 1,320,349,678,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,548,023,841 : 859,534,207,065 = 859,534,207,065 : x
  2. Step 2: Convert to fraction form
    559,548,023,841/859,534,207,065 = 859,534,207,065/x
  3. Step 3: Cross multiply
    559,548,023,841x = 859,534,207,065 × 859,534,207,065
  4. Step 4: Simplify right side
    559,548,023,841x = 738,799,053,114,858,306,273,280
  5. Step 5: Solve for x
    x = 738,799,053,114,858,306,273,280/559,548,023,841
  6. Step 6: Final answer
    x = 1,320,349,678,019.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.