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Finding the Third Proportional to 540,798,982 and 1,167,806,732

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Solution

The third proportional to 540,798,982 and 1,167,806,732 is: 2,521,773,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,798,982 : 1,167,806,732 = 1,167,806,732 : x
  2. Step 2: Convert to fraction form
    540,798,982/1,167,806,732 = 1,167,806,732/x
  3. Step 3: Cross multiply
    540,798,982x = 1,167,806,732 × 1,167,806,732
  4. Step 4: Simplify right side
    540,798,982x = 1,363,772,563,304,519,936
  5. Step 5: Solve for x
    x = 1,363,772,563,304,519,936/540,798,982
  6. Step 6: Final answer
    x = 2,521,773,540.07

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Why These Related Problems?

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