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Finding the Third Proportional to 364,363,428.94 and 786,785,711.34

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Solution

The third proportional to 364,363,428.94 and 786,785,711.34 is: 1,698,940,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,363,428.94 : 786,785,711.34 = 786,785,711.34 : x
  2. Step 2: Convert to fraction form
    364,363,428.94/786,785,711.34 = 786,785,711.34/x
  3. Step 3: Cross multiply
    364,363,428.94x = 786,785,711.34 × 786,785,711.34
  4. Step 4: Simplify right side
    364,363,428.94x = 619,031,755,574,706,432
  5. Step 5: Solve for x
    x = 619,031,755,574,706,432/364,363,428.94
  6. Step 6: Final answer
    x = 1,698,940,416.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.