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Finding the Third Proportional to 1,154,492,991 and 2,520,681,552

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Solution

The third proportional to 1,154,492,991 and 2,520,681,552 is: 5,503,572,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,492,991 : 2,520,681,552 = 2,520,681,552 : x
  2. Step 2: Convert to fraction form
    1,154,492,991/2,520,681,552 = 2,520,681,552/x
  3. Step 3: Cross multiply
    1,154,492,991x = 2,520,681,552 × 2,520,681,552
  4. Step 4: Simplify right side
    1,154,492,991x = 6,353,835,486,593,128,448
  5. Step 5: Solve for x
    x = 6,353,835,486,593,128,448/1,154,492,991
  6. Step 6: Final answer
    x = 5,503,572,162.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.