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Finding the Third Proportional to 13,958,956,339,053 and 30,547,486,116,728

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Solution

The third proportional to 13,958,956,339,053 and 30,547,486,116,728 is: 66,849,475,375,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958,956,339,053 : 30,547,486,116,728 = 30,547,486,116,728 : x
  2. Step 2: Convert to fraction form
    13,958,956,339,053/30,547,486,116,728 = 30,547,486,116,728/x
  3. Step 3: Cross multiply
    13,958,956,339,053x = 30,547,486,116,728 × 30,547,486,116,728
  4. Step 4: Simplify right side
    13,958,956,339,053x = 933,148,908,051,689,939,188,842,496
  5. Step 5: Solve for x
    x = 933,148,908,051,689,939,188,842,496/13,958,956,339,053
  6. Step 6: Final answer
    x = 66,849,475,375,248.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.