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Finding the Third Proportional to 14,438,891,574 and 30,864,868,725.38

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Solution

The third proportional to 14,438,891,574 and 30,864,868,725.38 is: 65,977,372,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438,891,574 : 30,864,868,725.38 = 30,864,868,725.38 : x
  2. Step 2: Convert to fraction form
    14,438,891,574/30,864,868,725.38 = 30,864,868,725.38/x
  3. Step 3: Cross multiply
    14,438,891,574x = 30,864,868,725.38 × 30,864,868,725.38
  4. Step 4: Simplify right side
    14,438,891,574x = 952,640,121,434,631,831,552
  5. Step 5: Solve for x
    x = 952,640,121,434,631,831,552/14,438,891,574
  6. Step 6: Final answer
    x = 65,977,372,054.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.