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Finding the Third Proportional to 35,575,128 and 77,573,808

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Solution

The third proportional to 35,575,128 and 77,573,808 is: 169,154,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,575,128 : 77,573,808 = 77,573,808 : x
  2. Step 2: Convert to fraction form
    35,575,128/77,573,808 = 77,573,808/x
  3. Step 3: Cross multiply
    35,575,128x = 77,573,808 × 77,573,808
  4. Step 4: Simplify right side
    35,575,128x = 6,017,695,687,620,864
  5. Step 5: Solve for x
    x = 6,017,695,687,620,864/35,575,128
  6. Step 6: Final answer
    x = 169,154,575.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.