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Finding the Third Proportional to 346,468,031 and 721,595,058

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Solution

The third proportional to 346,468,031 and 721,595,058 is: 1,502,878,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,468,031 : 721,595,058 = 721,595,058 : x
  2. Step 2: Convert to fraction form
    346,468,031/721,595,058 = 721,595,058/x
  3. Step 3: Cross multiply
    346,468,031x = 721,595,058 × 721,595,058
  4. Step 4: Simplify right side
    346,468,031x = 520,699,427,730,023,360
  5. Step 5: Solve for x
    x = 520,699,427,730,023,360/346,468,031
  6. Step 6: Final answer
    x = 1,502,878,710.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.