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Finding the Third Proportional to 470,663,184 and 725,844,308

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Solution

The third proportional to 470,663,184 and 725,844,308 is: 1,119,377,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,663,184 : 725,844,308 = 725,844,308 : x
  2. Step 2: Convert to fraction form
    470,663,184/725,844,308 = 725,844,308/x
  3. Step 3: Cross multiply
    470,663,184x = 725,844,308 × 725,844,308
  4. Step 4: Simplify right side
    470,663,184x = 526,849,959,455,998,848
  5. Step 5: Solve for x
    x = 526,849,959,455,998,848/470,663,184
  6. Step 6: Final answer
    x = 1,119,377,885.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.