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Finding the Third Proportional to 918,987,107,472 and 1,411,676,716,248

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Solution

The third proportional to 918,987,107,472 and 1,411,676,716,248 is: 2,168,508,279,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,987,107,472 : 1,411,676,716,248 = 1,411,676,716,248 : x
  2. Step 2: Convert to fraction form
    918,987,107,472/1,411,676,716,248 = 1,411,676,716,248/x
  3. Step 3: Cross multiply
    918,987,107,472x = 1,411,676,716,248 × 1,411,676,716,248
  4. Step 4: Simplify right side
    918,987,107,472x = 1,992,831,151,196,736,417,955,840
  5. Step 5: Solve for x
    x = 1,992,831,151,196,736,417,955,840/918,987,107,472
  6. Step 6: Final answer
    x = 2,168,508,279,380.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.