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Finding the Third Proportional to 213,071,718,798 and 463,652,643,312

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Solution

The third proportional to 213,071,718,798 and 463,652,643,312 is: 1,008,926,829,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,071,718,798 : 463,652,643,312 = 463,652,643,312 : x
  2. Step 2: Convert to fraction form
    213,071,718,798/463,652,643,312 = 463,652,643,312/x
  3. Step 3: Cross multiply
    213,071,718,798x = 463,652,643,312 × 463,652,643,312
  4. Step 4: Simplify right side
    213,071,718,798x = 214,973,773,650,204,693,626,880
  5. Step 5: Solve for x
    x = 214,973,773,650,204,693,626,880/213,071,718,798
  6. Step 6: Final answer
    x = 1,008,926,829,252.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.