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Finding the Third Proportional to 295,781,754 and 638,329,666

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Solution

The third proportional to 295,781,754 and 638,329,666 is: 1,377,585,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,781,754 : 638,329,666 = 638,329,666 : x
  2. Step 2: Convert to fraction form
    295,781,754/638,329,666 = 638,329,666/x
  3. Step 3: Cross multiply
    295,781,754x = 638,329,666 × 638,329,666
  4. Step 4: Simplify right side
    295,781,754x = 407,464,762,495,671,552
  5. Step 5: Solve for x
    x = 407,464,762,495,671,552/295,781,754
  6. Step 6: Final answer
    x = 1,377,585,861.82

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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.