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Finding the Third Proportional to 314,655,681 and 493,601,916

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Solution

The third proportional to 314,655,681 and 493,601,916 is: 774,315,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,655,681 : 493,601,916 = 493,601,916 : x
  2. Step 2: Convert to fraction form
    314,655,681/493,601,916 = 493,601,916/x
  3. Step 3: Cross multiply
    314,655,681x = 493,601,916 × 493,601,916
  4. Step 4: Simplify right side
    314,655,681x = 243,642,851,478,871,040
  5. Step 5: Solve for x
    x = 243,642,851,478,871,040/314,655,681
  6. Step 6: Final answer
    x = 774,315,755.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.