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Finding the Third Proportional to 346,574,016 and 761,162,528

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Solution

The third proportional to 346,574,016 and 761,162,528 is: 1,671,701,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,574,016 : 761,162,528 = 761,162,528 : x
  2. Step 2: Convert to fraction form
    346,574,016/761,162,528 = 761,162,528/x
  3. Step 3: Cross multiply
    346,574,016x = 761,162,528 × 761,162,528
  4. Step 4: Simplify right side
    346,574,016x = 579,368,394,031,350,784
  5. Step 5: Solve for x
    x = 579,368,394,031,350,784/346,574,016
  6. Step 6: Final answer
    x = 1,671,701,764.37

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Why These Related Problems?

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