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Finding the Third Proportional to 563,443,946 and 778,573,041.50

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Solution

The third proportional to 563,443,946 and 778,573,041.50 is: 1,075,840,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,443,946 : 778,573,041.50 = 778,573,041.50 : x
  2. Step 2: Convert to fraction form
    563,443,946/778,573,041.50 = 778,573,041.50/x
  3. Step 3: Cross multiply
    563,443,946x = 778,573,041.50 × 778,573,041.50
  4. Step 4: Simplify right side
    563,443,946x = 606,175,980,950,560,768
  5. Step 5: Solve for x
    x = 606,175,980,950,560,768/563,443,946
  6. Step 6: Final answer
    x = 1,075,840,791.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.