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Finding the Third Proportional to 51,926,929.88 and 82,224,973.13

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Solution

The third proportional to 51,926,929.88 and 82,224,973.13 is: 130,201,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,926,929.88 : 82,224,973.13 = 82,224,973.13 : x
  2. Step 2: Convert to fraction form
    51,926,929.88/82,224,973.13 = 82,224,973.13/x
  3. Step 3: Cross multiply
    51,926,929.88x = 82,224,973.13 × 82,224,973.13
  4. Step 4: Simplify right side
    51,926,929.88x = 6,760,946,205,406,972
  5. Step 5: Solve for x
    x = 6,760,946,205,406,972/51,926,929.88
  6. Step 6: Final answer
    x = 130,201,154.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.