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Finding the Third Proportional to 346,468,029 and 721,595,053.50

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Solution

The third proportional to 346,468,029 and 721,595,053.50 is: 1,502,878,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,468,029 : 721,595,053.50 = 721,595,053.50 : x
  2. Step 2: Convert to fraction form
    346,468,029/721,595,053.50 = 721,595,053.50/x
  3. Step 3: Cross multiply
    346,468,029x = 721,595,053.50 × 721,595,053.50
  4. Step 4: Simplify right side
    346,468,029x = 520,699,421,235,667,840
  5. Step 5: Solve for x
    x = 520,699,421,235,667,840/346,468,029
  6. Step 6: Final answer
    x = 1,502,878,700.64

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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.