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Finding the Third Proportional to 2,713,197,700.50 and 5,877,140,871

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Solution

The third proportional to 2,713,197,700.50 and 5,877,140,871 is: 12,730,655,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713,197,700.50 : 5,877,140,871 = 5,877,140,871 : x
  2. Step 2: Convert to fraction form
    2,713,197,700.50/5,877,140,871 = 5,877,140,871/x
  3. Step 3: Cross multiply
    2,713,197,700.50x = 5,877,140,871 × 5,877,140,871
  4. Step 4: Simplify right side
    2,713,197,700.50x = 34,540,784,817,578,639,360
  5. Step 5: Solve for x
    x = 34,540,784,817,578,639,360/2,713,197,700.50
  6. Step 6: Final answer
    x = 12,730,655,348.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.