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Finding the Third Proportional to 346,594,576 and 761,217,056

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Solution

The third proportional to 346,594,576 and 761,217,056 is: 1,671,842,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,594,576 : 761,217,056 = 761,217,056 : x
  2. Step 2: Convert to fraction form
    346,594,576/761,217,056 = 761,217,056/x
  3. Step 3: Cross multiply
    346,594,576x = 761,217,056 × 761,217,056
  4. Step 4: Simplify right side
    346,594,576x = 579,451,406,345,307,136
  5. Step 5: Solve for x
    x = 579,451,406,345,307,136/346,594,576
  6. Step 6: Final answer
    x = 1,671,842,107.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.