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Finding the Third Proportional to 710,319,916,315 and 1,458,295,960,686

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Solution

The third proportional to 710,319,916,315 and 1,458,295,960,686 is: 2,993,900,438,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,319,916,315 : 1,458,295,960,686 = 1,458,295,960,686 : x
  2. Step 2: Convert to fraction form
    710,319,916,315/1,458,295,960,686 = 1,458,295,960,686/x
  3. Step 3: Cross multiply
    710,319,916,315x = 1,458,295,960,686 × 1,458,295,960,686
  4. Step 4: Simplify right side
    710,319,916,315x = 2,126,627,108,953,103,668,346,880
  5. Step 5: Solve for x
    x = 2,126,627,108,953,103,668,346,880/710,319,916,315
  6. Step 6: Final answer
    x = 2,993,900,438,531.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.