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Finding the Third Proportional to 2,982,216,312 and 4,447,463,040

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Solution

The third proportional to 2,982,216,312 and 4,447,463,040 is: 6,632,626,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982,216,312 : 4,447,463,040 = 4,447,463,040 : x
  2. Step 2: Convert to fraction form
    2,982,216,312/4,447,463,040 = 4,447,463,040/x
  3. Step 3: Cross multiply
    2,982,216,312x = 4,447,463,040 × 4,447,463,040
  4. Step 4: Simplify right side
    2,982,216,312x = 19,779,927,492,166,041,600
  5. Step 5: Solve for x
    x = 19,779,927,492,166,041,600/2,982,216,312
  6. Step 6: Final answer
    x = 6,632,626,685.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.