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Finding the Third Proportional to 1,480,644,072 and 3,216,169,871

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Solution

The third proportional to 1,480,644,072 and 3,216,169,871 is: 6,985,979,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,644,072 : 3,216,169,871 = 3,216,169,871 : x
  2. Step 2: Convert to fraction form
    1,480,644,072/3,216,169,871 = 3,216,169,871/x
  3. Step 3: Cross multiply
    1,480,644,072x = 3,216,169,871 × 3,216,169,871
  4. Step 4: Simplify right side
    1,480,644,072x = 10,343,748,639,128,156,160
  5. Step 5: Solve for x
    x = 10,343,748,639,128,156,160/1,480,644,072
  6. Step 6: Final answer
    x = 6,985,979,165.92

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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.