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Finding the Third Proportional to 671,417,896,594.50 and 1,460,475,307,228.50

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Solution

The third proportional to 671,417,896,594.50 and 1,460,475,307,228.50 is: 3,176,841,329,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,417,896,594.50 : 1,460,475,307,228.50 = 1,460,475,307,228.50 : x
  2. Step 2: Convert to fraction form
    671,417,896,594.50/1,460,475,307,228.50 = 1,460,475,307,228.50/x
  3. Step 3: Cross multiply
    671,417,896,594.50x = 1,460,475,307,228.50 × 1,460,475,307,228.50
  4. Step 4: Simplify right side
    671,417,896,594.50x = 2,132,988,123,024,181,507,915,776
  5. Step 5: Solve for x
    x = 2,132,988,123,024,181,507,915,776/671,417,896,594.50
  6. Step 6: Final answer
    x = 3,176,841,329,137.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.