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Finding the Third Proportional to 6,829,214,301 and 15,808,646,583

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Solution

The third proportional to 6,829,214,301 and 15,808,646,583 is: 36,594,737,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,214,301 : 15,808,646,583 = 15,808,646,583 : x
  2. Step 2: Convert to fraction form
    6,829,214,301/15,808,646,583 = 15,808,646,583/x
  3. Step 3: Cross multiply
    6,829,214,301x = 15,808,646,583 × 15,808,646,583
  4. Step 4: Simplify right side
    6,829,214,301x = 249,913,306,786,197,569,536
  5. Step 5: Solve for x
    x = 249,913,306,786,197,569,536/6,829,214,301
  6. Step 6: Final answer
    x = 36,594,737,808.95

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