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Finding the Third Proportional to 4,872,683,952 and 7,220,537,470

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Solution

The third proportional to 4,872,683,952 and 7,220,537,470 is: 10,699,680,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872,683,952 : 7,220,537,470 = 7,220,537,470 : x
  2. Step 2: Convert to fraction form
    4,872,683,952/7,220,537,470 = 7,220,537,470/x
  3. Step 3: Cross multiply
    4,872,683,952x = 7,220,537,470 × 7,220,537,470
  4. Step 4: Simplify right side
    4,872,683,952x = 52,136,161,355,674,001,408
  5. Step 5: Solve for x
    x = 52,136,161,355,674,001,408/4,872,683,952
  6. Step 6: Final answer
    x = 10,699,680,477.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.