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Finding the Third Proportional to 14,046,348,159 and 20,294,547,454.69

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Solution

The third proportional to 14,046,348,159 and 20,294,547,454.69 is: 29,322,116,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046,348,159 : 20,294,547,454.69 = 20,294,547,454.69 : x
  2. Step 2: Convert to fraction form
    14,046,348,159/20,294,547,454.69 = 20,294,547,454.69/x
  3. Step 3: Cross multiply
    14,046,348,159x = 20,294,547,454.69 × 20,294,547,454.69
  4. Step 4: Simplify right side
    14,046,348,159x = 411,868,656,390,583,156,736
  5. Step 5: Solve for x
    x = 411,868,656,390,583,156,736/14,046,348,159
  6. Step 6: Final answer
    x = 29,322,116,448.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.