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Finding the Third Proportional to 442,572,140 and 965,239,499

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Solution

The third proportional to 442,572,140 and 965,239,499 is: 2,105,164,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,572,140 : 965,239,499 = 965,239,499 : x
  2. Step 2: Convert to fraction form
    442,572,140/965,239,499 = 965,239,499/x
  3. Step 3: Cross multiply
    442,572,140x = 965,239,499 × 965,239,499
  4. Step 4: Simplify right side
    442,572,140x = 931,687,290,429,771,008
  5. Step 5: Solve for x
    x = 931,687,290,429,771,008/442,572,140
  6. Step 6: Final answer
    x = 2,105,164,799.64

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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.