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Finding the Third Proportional to 9,570,758 and 14,710,943

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Solution

The third proportional to 9,570,758 and 14,710,943 is: 22,611,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,758 : 14,710,943 = 14,710,943 : x
  2. Step 2: Convert to fraction form
    9,570,758/14,710,943 = 14,710,943/x
  3. Step 3: Cross multiply
    9,570,758x = 14,710,943 × 14,710,943
  4. Step 4: Simplify right side
    9,570,758x = 216,411,843,949,249
  5. Step 5: Solve for x
    x = 216,411,843,949,249/9,570,758
  6. Step 6: Final answer
    x = 22,611,776.83

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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.