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Finding the Third Proportional to 61,408,306 and 133,578,271

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Solution

The third proportional to 61,408,306 and 133,578,271 is: 290,565,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408,306 : 133,578,271 = 133,578,271 : x
  2. Step 2: Convert to fraction form
    61,408,306/133,578,271 = 133,578,271/x
  3. Step 3: Cross multiply
    61,408,306x = 133,578,271 × 133,578,271
  4. Step 4: Simplify right side
    61,408,306x = 17,843,154,483,349,440
  5. Step 5: Solve for x
    x = 17,843,154,483,349,440/61,408,306
  6. Step 6: Final answer
    x = 290,565,815.04

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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.