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Finding the Third Proportional to 2,431,918,398 and 4,931,507,770

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Solution

The third proportional to 2,431,918,398 and 4,931,507,770 is: 10,000,240,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,918,398 : 4,931,507,770 = 4,931,507,770 : x
  2. Step 2: Convert to fraction form
    2,431,918,398/4,931,507,770 = 4,931,507,770/x
  3. Step 3: Cross multiply
    2,431,918,398x = 4,931,507,770 × 4,931,507,770
  4. Step 4: Simplify right side
    2,431,918,398x = 24,319,768,885,570,371,584
  5. Step 5: Solve for x
    x = 24,319,768,885,570,371,584/2,431,918,398
  6. Step 6: Final answer
    x = 10,000,240,512.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.