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Finding the Third Proportional to 354,712,501.69 and 828,768,459.38

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Solution

The third proportional to 354,712,501.69 and 828,768,459.38 is: 1,936,377,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,712,501.69 : 828,768,459.38 = 828,768,459.38 : x
  2. Step 2: Convert to fraction form
    354,712,501.69/828,768,459.38 = 828,768,459.38/x
  3. Step 3: Cross multiply
    354,712,501.69x = 828,768,459.38 × 828,768,459.38
  4. Step 4: Simplify right side
    354,712,501.69x = 686,857,159,254,811,008
  5. Step 5: Solve for x
    x = 686,857,159,254,811,008/354,712,501.69
  6. Step 6: Final answer
    x = 1,936,377,082.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.