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Finding the Third Proportional to 22,547,385 and 48,283,412.63

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Solution

The third proportional to 22,547,385 and 48,283,412.63 is: 103,395,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547,385 : 48,283,412.63 = 48,283,412.63 : x
  2. Step 2: Convert to fraction form
    22,547,385/48,283,412.63 = 48,283,412.63/x
  3. Step 3: Cross multiply
    22,547,385x = 48,283,412.63 × 48,283,412.63
  4. Step 4: Simplify right side
    22,547,385x = 2,331,287,934,716,009.50
  5. Step 5: Solve for x
    x = 2,331,287,934,716,009.50/22,547,385
  6. Step 6: Final answer
    x = 103,395,047.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.