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Finding the Third Proportional to 964,079,368 and 1,357,636,192.13

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Solution

The third proportional to 964,079,368 and 1,357,636,192.13 is: 1,911,850,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,079,368 : 1,357,636,192.13 = 1,357,636,192.13 : x
  2. Step 2: Convert to fraction form
    964,079,368/1,357,636,192.13 = 1,357,636,192.13/x
  3. Step 3: Cross multiply
    964,079,368x = 1,357,636,192.13 × 1,357,636,192.13
  4. Step 4: Simplify right side
    964,079,368x = 1,843,176,030,167,670,016
  5. Step 5: Solve for x
    x = 1,843,176,030,167,670,016/964,079,368
  6. Step 6: Final answer
    x = 1,911,850,923.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.