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Finding the Third Proportional to 583,559,901.56 and 1,260,294,405.94

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Solution

The third proportional to 583,559,901.56 and 1,260,294,405.94 is: 2,721,814,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,559,901.56 : 1,260,294,405.94 = 1,260,294,405.94 : x
  2. Step 2: Convert to fraction form
    583,559,901.56/1,260,294,405.94 = 1,260,294,405.94/x
  3. Step 3: Cross multiply
    583,559,901.56x = 1,260,294,405.94 × 1,260,294,405.94
  4. Step 4: Simplify right side
    583,559,901.56x = 1,588,341,989,637,356,032
  5. Step 5: Solve for x
    x = 1,588,341,989,637,356,032/583,559,901.56
  6. Step 6: Final answer
    x = 2,721,814,822.07

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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.