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Finding the Third Proportional to 465,919,287.47 and 1,035,266,019.47

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Solution

The third proportional to 465,919,287.47 and 1,035,266,019.47 is: 2,300,346,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,919,287.47 : 1,035,266,019.47 = 1,035,266,019.47 : x
  2. Step 2: Convert to fraction form
    465,919,287.47/1,035,266,019.47 = 1,035,266,019.47/x
  3. Step 3: Cross multiply
    465,919,287.47x = 1,035,266,019.47 × 1,035,266,019.47
  4. Step 4: Simplify right side
    465,919,287.47x = 1,071,775,731,066,773,632
  5. Step 5: Solve for x
    x = 1,071,775,731,066,773,632/465,919,287.47
  6. Step 6: Final answer
    x = 2,300,346,347.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.