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Finding the Third Proportional to 6,506,426 and 9,739,938

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Solution

The third proportional to 6,506,426 and 9,739,938 is: 14,580,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506,426 : 9,739,938 = 9,739,938 : x
  2. Step 2: Convert to fraction form
    6,506,426/9,739,938 = 9,739,938/x
  3. Step 3: Cross multiply
    6,506,426x = 9,739,938 × 9,739,938
  4. Step 4: Simplify right side
    6,506,426x = 94,866,392,243,844
  5. Step 5: Solve for x
    x = 94,866,392,243,844/6,506,426
  6. Step 6: Final answer
    x = 14,580,415.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.