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Finding the Third Proportional to 674,362,539,159 and 1,456,206,771,585

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Solution

The third proportional to 674,362,539,159 and 1,456,206,771,585 is: 3,144,507,647,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,362,539,159 : 1,456,206,771,585 = 1,456,206,771,585 : x
  2. Step 2: Convert to fraction form
    674,362,539,159/1,456,206,771,585 = 1,456,206,771,585/x
  3. Step 3: Cross multiply
    674,362,539,159x = 1,456,206,771,585 × 1,456,206,771,585
  4. Step 4: Simplify right side
    674,362,539,159x = 2,120,538,161,610,008,467,341,312
  5. Step 5: Solve for x
    x = 2,120,538,161,610,008,467,341,312/674,362,539,159
  6. Step 6: Final answer
    x = 3,144,507,647,554.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.