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Finding the Third Proportional to 13,736,547 and 27,127,368

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Solution

The third proportional to 13,736,547 and 27,127,368 is: 53,571,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736,547 : 27,127,368 = 27,127,368 : x
  2. Step 2: Convert to fraction form
    13,736,547/27,127,368 = 27,127,368/x
  3. Step 3: Cross multiply
    13,736,547x = 27,127,368 × 27,127,368
  4. Step 4: Simplify right side
    13,736,547x = 735,894,094,607,424
  5. Step 5: Solve for x
    x = 735,894,094,607,424/13,736,547
  6. Step 6: Final answer
    x = 53,571,985.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.