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Finding the Third Proportional to 340,847,106 and 736,175,136

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Solution

The third proportional to 340,847,106 and 736,175,136 is: 1,590,020,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,847,106 : 736,175,136 = 736,175,136 : x
  2. Step 2: Convert to fraction form
    340,847,106/736,175,136 = 736,175,136/x
  3. Step 3: Cross multiply
    340,847,106x = 736,175,136 × 736,175,136
  4. Step 4: Simplify right side
    340,847,106x = 541,953,830,864,618,496
  5. Step 5: Solve for x
    x = 541,953,830,864,618,496/340,847,106
  6. Step 6: Final answer
    x = 1,590,020,338.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.