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Finding the Third Proportional to 540,798,976 and 1,167,806,720

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Solution

The third proportional to 540,798,976 and 1,167,806,720 is: 2,521,773,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,798,976 : 1,167,806,720 = 1,167,806,720 : x
  2. Step 2: Convert to fraction form
    540,798,976/1,167,806,720 = 1,167,806,720/x
  3. Step 3: Cross multiply
    540,798,976x = 1,167,806,720 × 1,167,806,720
  4. Step 4: Simplify right side
    540,798,976x = 1,363,772,535,277,158,400
  5. Step 5: Solve for x
    x = 1,363,772,535,277,158,400/540,798,976
  6. Step 6: Final answer
    x = 2,521,773,516.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.