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Finding the Third Proportional to 346,661,516 and 705,429,900

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Solution

The third proportional to 346,661,516 and 705,429,900 is: 1,435,496,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,661,516 : 705,429,900 = 705,429,900 : x
  2. Step 2: Convert to fraction form
    346,661,516/705,429,900 = 705,429,900/x
  3. Step 3: Cross multiply
    346,661,516x = 705,429,900 × 705,429,900
  4. Step 4: Simplify right side
    346,661,516x = 497,631,343,814,009,984
  5. Step 5: Solve for x
    x = 497,631,343,814,009,984/346,661,516
  6. Step 6: Final answer
    x = 1,435,496,358.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.