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Finding the Third Proportional to 2,782,528,875 and 6,000,871,446

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Solution

The third proportional to 2,782,528,875 and 6,000,871,446 is: 12,941,629,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,528,875 : 6,000,871,446 = 6,000,871,446 : x
  2. Step 2: Convert to fraction form
    2,782,528,875/6,000,871,446 = 6,000,871,446/x
  3. Step 3: Cross multiply
    2,782,528,875x = 6,000,871,446 × 6,000,871,446
  4. Step 4: Simplify right side
    2,782,528,875x = 36,010,458,111,418,130,432
  5. Step 5: Solve for x
    x = 36,010,458,111,418,130,432/2,782,528,875
  6. Step 6: Final answer
    x = 12,941,629,621.51

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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.