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Finding the Third Proportional to 346,472,870 and 470,697,906

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Solution

The third proportional to 346,472,870 and 470,697,906 is: 639,462,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,472,870 : 470,697,906 = 470,697,906 : x
  2. Step 2: Convert to fraction form
    346,472,870/470,697,906 = 470,697,906/x
  3. Step 3: Cross multiply
    346,472,870x = 470,697,906 × 470,697,906
  4. Step 4: Simplify right side
    346,472,870x = 221,556,518,712,784,832
  5. Step 5: Solve for x
    x = 221,556,518,712,784,832/346,472,870
  6. Step 6: Final answer
    x = 639,462,820.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.