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Finding the Third Proportional to 487,824,811,784 and 1,056,692,215,312

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Solution

The third proportional to 487,824,811,784 and 1,056,692,215,312 is: 2,288,933,262,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,824,811,784 : 1,056,692,215,312 = 1,056,692,215,312 : x
  2. Step 2: Convert to fraction form
    487,824,811,784/1,056,692,215,312 = 1,056,692,215,312/x
  3. Step 3: Cross multiply
    487,824,811,784x = 1,056,692,215,312 × 1,056,692,215,312
  4. Step 4: Simplify right side
    487,824,811,784x = 1,116,598,437,900,982,201,352,192
  5. Step 5: Solve for x
    x = 1,116,598,437,900,982,201,352,192/487,824,811,784
  6. Step 6: Final answer
    x = 2,288,933,262,368.36

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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.