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Finding the Third Proportional to 2,849,160,712 and 6,188,788,400

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Solution

The third proportional to 2,849,160,712 and 6,188,788,400 is: 13,442,941,880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849,160,712 : 6,188,788,400 = 6,188,788,400 : x
  2. Step 2: Convert to fraction form
    2,849,160,712/6,188,788,400 = 6,188,788,400/x
  3. Step 3: Cross multiply
    2,849,160,712x = 6,188,788,400 × 6,188,788,400
  4. Step 4: Simplify right side
    2,849,160,712x = 38,301,101,859,974,561,792
  5. Step 5: Solve for x
    x = 38,301,101,859,974,561,792/2,849,160,712
  6. Step 6: Final answer
    x = 13,442,941,880.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.