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Finding the Third Proportional to 346,815,684 and 569,350,136

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Solution

The third proportional to 346,815,684 and 569,350,136 is: 934,673,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,815,684 : 569,350,136 = 569,350,136 : x
  2. Step 2: Convert to fraction form
    346,815,684/569,350,136 = 569,350,136/x
  3. Step 3: Cross multiply
    346,815,684x = 569,350,136 × 569,350,136
  4. Step 4: Simplify right side
    346,815,684x = 324,159,577,363,218,496
  5. Step 5: Solve for x
    x = 324,159,577,363,218,496/346,815,684
  6. Step 6: Final answer
    x = 934,673,927.15

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.