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Finding the Third Proportional to 13,799,574,688 and 30,016,977,642

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Solution

The third proportional to 13,799,574,688 and 30,016,977,642 is: 65,293,240,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799,574,688 : 30,016,977,642 = 30,016,977,642 : x
  2. Step 2: Convert to fraction form
    13,799,574,688/30,016,977,642 = 30,016,977,642/x
  3. Step 3: Cross multiply
    13,799,574,688x = 30,016,977,642 × 30,016,977,642
  4. Step 4: Simplify right side
    13,799,574,688x = 901,018,946,760,327,823,360
  5. Step 5: Solve for x
    x = 901,018,946,760,327,823,360/13,799,574,688
  6. Step 6: Final answer
    x = 65,293,240,344.85

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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.