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Finding the Third Proportional to 7,464,497,457 and 16,036,746,498

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Solution

The third proportional to 7,464,497,457 and 16,036,746,498 is: 34,453,389,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464,497,457 : 16,036,746,498 = 16,036,746,498 : x
  2. Step 2: Convert to fraction form
    7,464,497,457/16,036,746,498 = 16,036,746,498/x
  3. Step 3: Cross multiply
    7,464,497,457x = 16,036,746,498 × 16,036,746,498
  4. Step 4: Simplify right side
    7,464,497,457x = 257,177,238,241,115,275,264
  5. Step 5: Solve for x
    x = 257,177,238,241,115,275,264/7,464,497,457
  6. Step 6: Final answer
    x = 34,453,389,491.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.