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Finding the Third Proportional to 55,465,358 and 123,676,564

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Solution

The third proportional to 55,465,358 and 123,676,564 is: 275,773,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,465,358 : 123,676,564 = 123,676,564 : x
  2. Step 2: Convert to fraction form
    55,465,358/123,676,564 = 123,676,564/x
  3. Step 3: Cross multiply
    55,465,358x = 123,676,564 × 123,676,564
  4. Step 4: Simplify right side
    55,465,358x = 15,295,892,482,846,096
  5. Step 5: Solve for x
    x = 15,295,892,482,846,096/55,465,358
  6. Step 6: Final answer
    x = 275,773,798.90

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.