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Finding the Third Proportional to 7,710,368 and 16,288,768

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Solution

The third proportional to 7,710,368 and 16,288,768 is: 34,411,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710,368 : 16,288,768 = 16,288,768 : x
  2. Step 2: Convert to fraction form
    7,710,368/16,288,768 = 16,288,768/x
  3. Step 3: Cross multiply
    7,710,368x = 16,288,768 × 16,288,768
  4. Step 4: Simplify right side
    7,710,368x = 265,323,962,957,824
  5. Step 5: Solve for x
    x = 265,323,962,957,824/7,710,368
  6. Step 6: Final answer
    x = 34,411,322.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.