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Finding the Third Proportional to 647,098,239,516 and 1,406,827,386,540

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Solution

The third proportional to 647,098,239,516 and 1,406,827,386,540 is: 3,058,520,599,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,098,239,516 : 1,406,827,386,540 = 1,406,827,386,540 : x
  2. Step 2: Convert to fraction form
    647,098,239,516/1,406,827,386,540 = 1,406,827,386,540/x
  3. Step 3: Cross multiply
    647,098,239,516x = 1,406,827,386,540 × 1,406,827,386,540
  4. Step 4: Simplify right side
    647,098,239,516x = 1,979,163,295,518,966,463,594,496
  5. Step 5: Solve for x
    x = 1,979,163,295,518,966,463,594,496/647,098,239,516
  6. Step 6: Final answer
    x = 3,058,520,599,591.32

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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.