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Finding the Third Proportional to 1,315,258,160 and 2,862,055,472

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Solution

The third proportional to 1,315,258,160 and 2,862,055,472 is: 6,227,949,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,258,160 : 2,862,055,472 = 2,862,055,472 : x
  2. Step 2: Convert to fraction form
    1,315,258,160/2,862,055,472 = 2,862,055,472/x
  3. Step 3: Cross multiply
    1,315,258,160x = 2,862,055,472 × 2,862,055,472
  4. Step 4: Simplify right side
    1,315,258,160x = 8,191,361,524,805,142,528
  5. Step 5: Solve for x
    x = 8,191,361,524,805,142,528/1,315,258,160
  6. Step 6: Final answer
    x = 6,227,949,594.93

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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.