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Finding the Third Proportional to 710,319,916,312 and 1,458,295,960,680

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Solution

The third proportional to 710,319,916,312 and 1,458,295,960,680 is: 2,993,900,438,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,319,916,312 : 1,458,295,960,680 = 1,458,295,960,680 : x
  2. Step 2: Convert to fraction form
    710,319,916,312/1,458,295,960,680 = 1,458,295,960,680/x
  3. Step 3: Cross multiply
    710,319,916,312x = 1,458,295,960,680 × 1,458,295,960,680
  4. Step 4: Simplify right side
    710,319,916,312x = 2,126,627,108,935,604,092,534,784
  5. Step 5: Solve for x
    x = 2,126,627,108,935,604,092,534,784/710,319,916,312
  6. Step 6: Final answer
    x = 2,993,900,438,519.46

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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.