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Finding the Third Proportional to 299,655,427,232 and 432,950,345,480

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Solution

The third proportional to 299,655,427,232 and 432,950,345,480 is: 625,538,483,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,655,427,232 : 432,950,345,480 = 432,950,345,480 : x
  2. Step 2: Convert to fraction form
    299,655,427,232/432,950,345,480 = 432,950,345,480/x
  3. Step 3: Cross multiply
    299,655,427,232x = 432,950,345,480 × 432,950,345,480
  4. Step 4: Simplify right side
    299,655,427,232x = 187,446,001,651,251,362,660,352
  5. Step 5: Solve for x
    x = 187,446,001,651,251,362,660,352/299,655,427,232
  6. Step 6: Final answer
    x = 625,538,483,927.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.