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Finding the Third Proportional to 453,725,176.50 and 976,402,984.50

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Solution

The third proportional to 453,725,176.50 and 976,402,984.50 is: 2,101,189,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,725,176.50 : 976,402,984.50 = 976,402,984.50 : x
  2. Step 2: Convert to fraction form
    453,725,176.50/976,402,984.50 = 976,402,984.50/x
  3. Step 3: Cross multiply
    453,725,176.50x = 976,402,984.50 × 976,402,984.50
  4. Step 4: Simplify right side
    453,725,176.50x = 953,362,788,140,507,264
  5. Step 5: Solve for x
    x = 953,362,788,140,507,264/453,725,176.50
  6. Step 6: Final answer
    x = 2,101,189,965.91

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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.