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Finding the Third Proportional to 832,961,298,216 and 1,689,343,572,435

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Solution

The third proportional to 832,961,298,216 and 1,689,343,572,435 is: 3,426,187,641,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,961,298,216 : 1,689,343,572,435 = 1,689,343,572,435 : x
  2. Step 2: Convert to fraction form
    832,961,298,216/1,689,343,572,435 = 1,689,343,572,435/x
  3. Step 3: Cross multiply
    832,961,298,216x = 1,689,343,572,435 × 1,689,343,572,435
  4. Step 4: Simplify right side
    832,961,298,216x = 2,853,881,705,727,448,225,677,312
  5. Step 5: Solve for x
    x = 2,853,881,705,727,448,225,677,312/832,961,298,216
  6. Step 6: Final answer
    x = 3,426,187,641,418.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.