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Finding the Third Proportional to 5,797,605,190,304 and 12,613,096,804,557

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Solution

The third proportional to 5,797,605,190,304 and 12,613,096,804,557 is: 27,440,676,931,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,605,190,304 : 12,613,096,804,557 = 12,613,096,804,557 : x
  2. Step 2: Convert to fraction form
    5,797,605,190,304/12,613,096,804,557 = 12,613,096,804,557/x
  3. Step 3: Cross multiply
    5,797,605,190,304x = 12,613,096,804,557 × 12,613,096,804,557
  4. Step 4: Simplify right side
    5,797,605,190,304x = 159,090,211,001,125,993,411,772,416
  5. Step 5: Solve for x
    x = 159,090,211,001,125,993,411,772,416/5,797,605,190,304
  6. Step 6: Final answer
    x = 27,440,676,931,087.13

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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.