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Finding the Third Proportional to 8,681,600 and 12,771,461

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Solution

The third proportional to 8,681,600 and 12,771,461 is: 18,788,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681,600 : 12,771,461 = 12,771,461 : x
  2. Step 2: Convert to fraction form
    8,681,600/12,771,461 = 12,771,461/x
  3. Step 3: Cross multiply
    8,681,600x = 12,771,461 × 12,771,461
  4. Step 4: Simplify right side
    8,681,600x = 163,110,216,074,521
  5. Step 5: Solve for x
    x = 163,110,216,074,521/8,681,600
  6. Step 6: Final answer
    x = 18,788,036.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.