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Finding the Third Proportional to 10,244,053,798.10 and 22,843,547,602.45

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Solution

The third proportional to 10,244,053,798.10 and 22,843,547,602.45 is: 50,939,567,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244,053,798.10 : 22,843,547,602.45 = 22,843,547,602.45 : x
  2. Step 2: Convert to fraction form
    10,244,053,798.10/22,843,547,602.45 = 22,843,547,602.45/x
  3. Step 3: Cross multiply
    10,244,053,798.10x = 22,843,547,602.45 × 22,843,547,602.45
  4. Step 4: Simplify right side
    10,244,053,798.10x = 521,827,667,065,581,797,376
  5. Step 5: Solve for x
    x = 521,827,667,065,581,797,376/10,244,053,798.10
  6. Step 6: Final answer
    x = 50,939,567,221.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.