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Finding the Third Proportional to 545,989,139,643 and 1,187,010,607,483.50

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Solution

The third proportional to 545,989,139,643 and 1,187,010,607,483.50 is: 2,580,626,756,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,989,139,643 : 1,187,010,607,483.50 = 1,187,010,607,483.50 : x
  2. Step 2: Convert to fraction form
    545,989,139,643/1,187,010,607,483.50 = 1,187,010,607,483.50/x
  3. Step 3: Cross multiply
    545,989,139,643x = 1,187,010,607,483.50 × 1,187,010,607,483.50
  4. Step 4: Simplify right side
    545,989,139,643x = 1,408,994,182,278,347,579,457,536
  5. Step 5: Solve for x
    x = 1,408,994,182,278,347,579,457,536/545,989,139,643
  6. Step 6: Final answer
    x = 2,580,626,756,055.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.