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Finding the Third Proportional to 6,829,214,319 and 15,808,646,628

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Solution

The third proportional to 6,829,214,319 and 15,808,646,628 is: 36,594,737,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,214,319 : 15,808,646,628 = 15,808,646,628 : x
  2. Step 2: Convert to fraction form
    6,829,214,319/15,808,646,628 = 15,808,646,628/x
  3. Step 3: Cross multiply
    6,829,214,319x = 15,808,646,628 × 15,808,646,628
  4. Step 4: Simplify right side
    6,829,214,319x = 249,913,308,208,975,773,696
  5. Step 5: Solve for x
    x = 249,913,308,208,975,773,696/6,829,214,319
  6. Step 6: Final answer
    x = 36,594,737,920.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.