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Finding the Third Proportional to 14,495,189 and 31,065,319

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Solution

The third proportional to 14,495,189 and 31,065,319 is: 66,577,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495,189 : 31,065,319 = 31,065,319 : x
  2. Step 2: Convert to fraction form
    14,495,189/31,065,319 = 31,065,319/x
  3. Step 3: Cross multiply
    14,495,189x = 31,065,319 × 31,065,319
  4. Step 4: Simplify right side
    14,495,189x = 965,054,044,571,761
  5. Step 5: Solve for x
    x = 965,054,044,571,761/14,495,189
  6. Step 6: Final answer
    x = 66,577,541.32

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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.