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Finding the Third Proportional to 6,478,970.63 and 14,178,290.63

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Solution

The third proportional to 6,478,970.63 and 14,178,290.63 is: 31,027,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,970.63 : 14,178,290.63 = 14,178,290.63 : x
  2. Step 2: Convert to fraction form
    6,478,970.63/14,178,290.63 = 14,178,290.63/x
  3. Step 3: Cross multiply
    6,478,970.63x = 14,178,290.63 × 14,178,290.63
  4. Step 4: Simplify right side
    6,478,970.63x = 201,023,925,046,962.88
  5. Step 5: Solve for x
    x = 201,023,925,046,962.88/6,478,970.63
  6. Step 6: Final answer
    x = 31,027,139.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.