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Finding the Third Proportional to 3,055,948,994 and 6,547,546,984

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Solution

The third proportional to 3,055,948,994 and 6,547,546,984 is: 14,028,497,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055,948,994 : 6,547,546,984 = 6,547,546,984 : x
  2. Step 2: Convert to fraction form
    3,055,948,994/6,547,546,984 = 6,547,546,984/x
  3. Step 3: Cross multiply
    3,055,948,994x = 6,547,546,984 × 6,547,546,984
  4. Step 4: Simplify right side
    3,055,948,994x = 42,870,371,507,687,497,728
  5. Step 5: Solve for x
    x = 42,870,371,507,687,497,728/3,055,948,994
  6. Step 6: Final answer
    x = 14,028,497,069.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.