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Finding the Third Proportional to 952,687,259.63 and 2,063,681,659.50

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Solution

The third proportional to 952,687,259.63 and 2,063,681,659.50 is: 4,470,283,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,687,259.63 : 2,063,681,659.50 = 2,063,681,659.50 : x
  2. Step 2: Convert to fraction form
    952,687,259.63/2,063,681,659.50 = 2,063,681,659.50/x
  3. Step 3: Cross multiply
    952,687,259.63x = 2,063,681,659.50 × 2,063,681,659.50
  4. Step 4: Simplify right side
    952,687,259.63x = 4,258,781,991,756,674,048
  5. Step 5: Solve for x
    x = 4,258,781,991,756,674,048/952,687,259.63
  6. Step 6: Final answer
    x = 4,470,283,347.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.